7Baggers

Cushman & Wakefield plc
(NYSE:CWK) 

CWK stock logo

Cushman & Wakefield plc, together with its subsidiaries, provides commercial real estate services under the Cushman & Wakefield brand in the United States, Australia, the United Kingdom, and internationally. The company operates through Americas; Europe, Middle East, and Africa; and Asia Pacific seg...

Founded: 1917
Full Time Employees: 53,000
Sector: Real Estate
Industry: Real Estate Services

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• Market Cap:
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At a glance:
Bull Thesis:
Bear Thesis:
Main Competitors:
Moat:
Income Statements:
Quarterly
Annual
    Unit: USD2026-03-31 2025-12-31 2025-09-30 2025-06-30 2025-03-31 2024-12-31 2024-09-30 2024-06-30 2024-03-31 2023-12-31 2023-09-30 2023-06-30 2023-03-31 2022-12-31 2022-09-30 2022-06-30 2022-03-31 2021-12-31 2021-09-30 2021-06-30 2021-03-31 2020-12-31 2020-09-30 2020-06-30 2020-03-31 2019-12-31 2019-09-30 2019-06-30 2019-03-31 2018-12-31 2018-09-30 2018-06-30 
                                    
      revenue
    2,535,800,000 2,913,800,000 2,605,900,000 2,483,900,000 2,284,600,000 2,629,500,000 2,344,200,000 2,288,000,000 2,184,800,000 2,552,400,000 2,286,000,000 2,406,000,000 2,249,300,000 2,647,000,000 2,515,100,000 2,612,600,000 2,331,000,000 2,883,700,000 2,332,900,000 2,248,300,000 1,923,800,000 2,273,100,000 1,931,600,000 1,743,600,000 1,895,400,000 2,607,500,000 2,118,800,000 2,121,700,000 1,903,000,000 2,401,900,000 2,076,000,000 1,974,300,000 
      yoy
    11.00% 10.81% 11.16% 8.56% 4.57% 3.02% 2.55% -4.90% -2.87% -3.57% -9.11% -7.91% -3.50% -8.21% 7.81% 16.20% 21.17% 26.86% 20.78% 28.95% 1.50% -12.82% -8.84% -17.82% -0.40% 8.56% 2.06% 7.47%     
      qoq
    -12.97% 11.82% 4.91% 8.72% -13.12% 12.17% 2.46% 4.72% -14.40% 11.65% -4.99% 6.97% -15.02% 5.24% -3.73% 12.08% -19.17% 23.61% 3.76% 16.87% -15.37% 17.68% 10.78% -8.01% -27.31% 23.06% -0.14% 11.49% -20.77% 15.70% 5.15%  
      costs and expenses:
                                    
      costs of services
    2,115,100,000 2,339,300,000 2,152,000,000 2,016,600,000 1,900,300,000 2,101,100,000 1,911,800,000 1,874,800,000 1,832,500,000 2,073,800,000 1,882,100,000 1,978,100,000 1,907,600,000 2,162,600,000 2,052,900,000 2,077,500,000 1,860,500,000                
      operating, administrative and other
    336,700,000 372,500,000 320,600,000 318,300,000 305,800,000 319,700,000 314,200,000 294,200,000 296,000,000 317,100,000 300,900,000 328,900,000 315,900,000 334,800,000 315,600,000 317,500,000 293,400,000 359,200,000 302,500,000 284,200,000 280,800,000 310,400,000 254,300,000 272,100,000 284,000,000 364,500,000 315,200,000 306,900,000 286,800,000 356,900,000 307,400,000 311,900,000 
      depreciation and amortization
    25,300,000 25,500,000 25,800,000 26,200,000 26,700,000 29,600,000 28,900,000 31,200,000 32,500,000 36,800,000 36,200,000 35,700,000 36,900,000 32,700,000 33,900,000 39,700,000 40,600,000 43,800,000 42,700,000 42,500,000 43,100,000 52,100,000 64,900,000 74,600,000 72,000,000 73,900,000 75,000,000 74,300,000 73,500,000 77,000,000 71,600,000 71,600,000 
      restructuring, impairment and related charges
     -400,000   6,500,000 4,600,000 14,100,000 17,400,000 5,000,000 14,700,000 9,200,000 7,000,000 7,200,000 5,800,000 600,000 1,300,000 1,200,000 5,000,000 7,200,000 14,700,000 17,600,000 12,100,000 13,100,000 5,800,000 26,100,000 8,400,000 -600,000 200,000 3,900,000 1,000,000 -1,200,000 -6,400,000 
      total costs and expenses
    2,477,100,000 2,736,900,000 2,498,400,000 2,361,100,000 2,239,300,000 2,455,000,000 2,269,000,000 2,217,600,000 2,166,000,000 2,442,400,000 2,228,400,000 2,349,700,000 2,267,600,000 2,535,900,000 2,403,000,000 2,436,000,000 2,195,700,000 2,634,300,000 2,202,600,000 2,123,800,000 1,931,000,000 2,177,600,000 1,931,900,000 1,806,400,000 1,980,900,000 2,484,400,000 2,081,800,000 2,068,500,000 1,929,000,000 2,352,100,000 2,065,000,000 1,941,800,000 
      operating income
    58,700,000 176,900,000 107,500,000 122,800,000 45,300,000 174,500,000 75,200,000 70,400,000 18,800,000 110,000,000 57,600,000 56,300,000 -18,300,000 111,100,000 112,100,000 176,600,000 135,300,000 249,400,000 130,300,000 124,500,000 -7,200,000 95,500,000 -300,000 -62,800,000 -85,500,000    -26,000,000 49,800,000 11,000,000 32,500,000 
      yoy
    29.58% 1.38% 42.95% 74.43% 140.96% 58.64% 30.56% 25.04% -202.73% -0.99% -48.62% -68.12% -113.53% -55.45% -13.97% 41.85% -1979.17% 161.15% -43533.33% -298.25% -91.58%    228.85%        
      qoq
    -66.82% 64.56% -12.46% 171.08% -74.04% 132.05% 6.82% 274.47% -82.91% 90.97% 2.31% -407.65% -116.47% -0.89% -36.52% 30.52% -45.75% 91.40% 4.66% -1829.17% -107.54% -31933.33% -99.52% -26.55%     -152.21% 352.73% -66.15%  
      operating margin %
    2.31% 6.07% 4.13% 4.94% 1.98% 6.64% 3.21% 3.08% 0.86% 4.31% 2.52% 2.34% -0.81% 4.20% 4.46% 6.76% 5.80% 8.65% 5.59% 5.54% -0.37% 4.20% -0.02% -3.60% -4.51% 0% 0% 0% -1.37% 2.07% 0.53% 1.65% 
      interest expense, net of interest income
    -49,200,000 -54,700,000 -56,000,000 -53,200,000 -52,300,000 -55,500,000 -54,900,000 -60,800,000 -58,700,000 -56,900,000 -89,500,000 -57,900,000 -76,800,000 -53,400,000 -50,400,000 -46,100,000 -43,200,000 -47,500,000 -45,800,000 -43,800,000 -42,400,000 -43,600,000 -44,900,000 -38,800,000 -36,500,000 -37,800,000 -37,400,000 -38,200,000 -37,200,000 -39,700,000 -92,700,000 -52,000,000 
      earnings from equity method investments
    -4,100,000 -171,000,000 -8,600,000 200,000 11,100,000 9,300,000 12,100,000 4,300,000 11,700,000 16,800,000 16,600,000 12,800,000 11,900,000 30,600,000 20,000,000 17,500,000 16,900,000 10,300,000 3,400,000 5,100,000 2,400,000 2,500,000 2,800,000 1,700,000 1,300,000 600,000 700,000 500,000 800,000 700,000 400,000 400,000 
      other income
    -15,000,000 36,700,000 2,200,000 6,400,000 900,000 3,800,000 20,600,000 3,300,000 1,700,000     500,000 -31,600,000 -25,000,000 -32,900,000 -14,600,000 3,700,000 10,100,000 2,000,000 1,000,000 500,000 -8,600,000 39,100,000 300,000 400,000 2,200,000 600,000 800,000 -300,000 2,000,000 
      earnings before income taxes
    -9,600,000 -12,100,000 45,100,000 76,200,000 5,000,000 132,100,000 53,000,000 17,200,000  70,100,000 -17,300,000 6,400,000 -89,200,000 88,800,000 50,100,000 123,000,000 76,100,000 197,600,000 91,600,000 95,900,000  55,400,000 -41,900,000 -108,500,000  86,200,000 700,000 17,700,000     
      provision for income taxes
    3,000,000 10,300,000 -6,300,000 18,900,000 3,100,000 19,200,000 19,300,000 3,700,000 2,300,000 300,000 16,600,000 1,300,000 -12,800,000 59,000,000 26,200,000 25,800,000 30,600,000                
      net income
    -12,600,000 -22,400,000 51,400,000 57,300,000 1,900,000 112,900,000 33,700,000 13,500,000 -28,800,000 69,800,000 -33,900,000 5,100,000 -76,400,000 29,800,000 23,900,000 97,200,000 45,500,000 145,800,000 68,700,000 52,700,000 -17,200,000 -27,300,000 -37,300,000 -100,800,000 -55,100,000 3,100,000 11,700,000 6,300,000 -20,900,000 -12,900,000 -48,700,000 -32,200,000 
      yoy
    -763.16% -119.84% 52.52% 324.44% -106.60% 61.75% -199.41% 164.71% -62.30% 134.23% -241.84% -94.75% -267.91% -79.56% -65.21% 84.44% -364.53% -634.07% -284.18% -152.28% -68.78% -980.65% -418.80% -1700.00% 163.64% -124.03% -124.02% -119.57%     
      qoq
    -43.75% -143.58% -10.30% 2915.79% -98.32% 235.01% 149.63% -146.88% -141.26% -305.90% -764.71% -106.68% -356.38% 24.69% -75.41% 113.63% -68.79% 112.23% 30.36% -406.40% -37.00% -26.81% -63.00% 82.94% -1877.42% -73.50% 85.71% -130.14% 62.02% -73.51% 51.24%  
      net income margin %
    -0.50% -0.77% 1.97% 2.31% 0.08% 4.29% 1.44% 0.59% -1.32% 2.73% -1.48% 0.21% -3.40% 1.13% 0.95% 3.72% 1.95% 5.06% 2.94% 2.34% -0.89% -1.20% -1.93% -5.78% -2.91% 0.12% 0.55% 0.30% -1.10% -0.54% -2.35% -1.63% 
      basic earnings per share:
                                    
      earnings per share attributable to common shareholders, basic
    -0.05 -0.1 0.22 0.25 0.01 0.49 0.15 0.06  0.3 -0.15 0.02 -0.34 0.13 0.11 0.43 0.2     -0.12 -0.17 -0.46  -0.003 0.05 0.03     
      weighted-average shares outstanding for basic earnings per share
    232.8 231.2 231.5 231.4 230.4 228.9 229.3 229  226.9 227.2 227.1 226.2 225.4 225.7 225.6 224.7 223 223.3 223  220.8 221.1 220.4  217.7 218 216.9     
      diluted earnings per share:
                                    
      earnings per share attributable to common shareholders, diluted
    -0.05 -0.09 0.22 0.25 0.01 0.48 0.14 0.06  0.3 -0.15 0.02 -0.34 0.13 0.11 0.43 0.2 0.64 0.3 0.23  -0.12 -0.17 -0.46  -0.003 0.05 0.03     
      weighted-average shares outstanding for diluted earnings per share
    232.8 234.7 235.9 232.4 232.3 232.8 233.4 231.5  226.9 227.2 227.1 226.2 228 227.5 228 229.1 226.5 227 226.3  220.8 221.1 220.4  224.5 224.5 224.8     
      income before income taxes
            -26,500,000            -45,200,000    -81,600,000    -61,800,000 11,600,000 -81,600,000 -17,100,000 
      basic loss per share:
                                    
      loss per share attributable to common shareholders, basic
            -0.13                        
      weighted-average shares outstanding for basic loss per share
            227.9                        
      diluted loss per share:
                                    
      loss per share attributable to common shareholders, diluted
            -0.13                        
      weighted-average shares outstanding for diluted loss per share
            227.9                        
      other expense
             -3,200,000 -2,000,000 -4,800,000 -6,000,000                    
      cost of services
                     2,226,300,000 1,850,200,000 1,782,400,000 1,589,500,000 1,803,000,000 1,599,600,000 1,453,900,000 1,598,800,000 2,037,600,000 1,692,200,000 1,687,100,000 1,564,800,000 1,917,200,000 1,687,200,000 1,564,700,000 
      provision from income taxes
                     9,525,000 22,900,000 43,200,000    -7,700,000    11,400,000    15,100,000 
      earnings per share attributable to common shareholders
                     0.118 0.31 0.24             
      benefit from income taxes
                        -28,000,000 -9,700,000 -4,600,000  -26,500,000 -10,125,000 -11,000,000  -40,900,000 24,500,000 -32,900,000  
      basic and diluted loss per share:
                                    
      loss per share attributable to common shareholders
                        -0.08    -0.25    -0.1  -0.26  
      weighted-average shares outstanding for basic and diluted loss per share
                        222.3    219.9    216.6 171.2 184 145.7 
      operating earnings
                             123,100,000 37,000,000 53,200,000     
      loss per share attributable to the company
                                   -0.22 
    Balance Sheets:
    Quarterly
    Annual
      Unit: USD2026-03-31 2025-12-31 2025-09-30 2025-06-30 2025-03-31 2024-12-31 2024-09-30 2024-06-30 2024-03-31 2023-12-31 2023-09-30 2023-06-30 2023-03-31 2022-12-31 2022-09-30 2022-06-30 2022-03-31 2021-12-31 2021-09-30 2021-06-30 2021-03-31 2020-12-31 2020-09-30 2020-06-30 2020-03-31 2019-12-31 2019-09-30 2019-06-30 2019-03-31 2018-12-31 2018-09-30 2018-06-30 
                                      
        assets
                                      
        current assets:
                                      
        cash and cash equivalents
      600,600,000 784,200,000 634,400,000 618,200,000 623,200,000 793,300,000 775,400,000 567,300,000 553,500,000 767,700,000 588,200,000 502,300,000 459,600,000 644,500,000 380,800,000 476,700,000 611,900,000 770,700,000 1,188,500,000 1,073,200,000 1,015,600,000 1,074,800,000 916,800,000 875,500,000 379,500,000 813,200,000 400,100,000 423,700,000 411,000,000 895,300,000 939,000,000 382,400,000 
        trade and other receivables, net of allowance of 95.3 and 93.2, as of march 31, 2026 and december 31, 2025, respectively
      1,447,100,000                                
        income taxes receivable
      82,900,000                                
        short-term contract assets
      324,800,000 301,400,000 305,400,000 310,700,000 303,800,000 301,400,000 302,000,000 296,700,000 317,000,000 311,000,000 343,500,000 374,600,000 360,000,000 358,200,000 392,500,000 431,400,000 360,600,000 318,900,000 294,600,000 274,000,000 250,400,000 247,600,000           
        prepaid expenses and other current assets
      292,500,000 189,700,000 208,400,000 229,900,000 249,600,000 181,200,000 227,900,000 229,100,000 237,000,000 189,400,000 213,200,000 266,800,000 298,200,000 246,300,000 275,300,000 277,500,000 295,700,000 264,700,000 268,600,000 270,800,000 250,200,000 223,200,000   559,000,000 484,400,000 494,000,000 438,500,000 312,200,000 343,400,000 373,900,000 339,700,000 
        total current assets
      2,747,900,000 2,843,100,000 2,671,800,000 2,637,100,000 2,604,800,000 2,690,400,000 2,648,900,000 2,592,000,000 2,459,800,000 2,803,200,000 2,618,200,000 2,624,600,000 2,506,300,000 2,766,800,000 2,403,300,000 2,761,400,000 2,672,900,000 2,830,300,000 3,076,200,000 2,845,600,000 2,718,300,000 2,890,700,000 2,709,600,000 2,630,800,000 2,218,500,000 2,860,800,000 2,289,800,000 2,264,100,000 2,132,100,000 2,743,300,000 2,623,800,000 2,079,400,000 
        property and equipment
      134,200,000 132,900,000 121,500,000 123,800,000 126,000,000 136,000,000 141,600,000 148,200,000 155,100,000 163,800,000 160,300,000 166,000,000 169,700,000 172,600,000 156,100,000 180,600,000 192,400,000 194,600,000 194,000,000 207,800,000 224,100,000 235,900,000 243,300,000 255,700,000 274,000,000 299,400,000 288,200,000 299,600,000 306,900,000 313,800,000 295,600,000 289,500,000 
        goodwill
      2,059,200,000 2,058,300,000 2,055,300,000 2,059,700,000 2,020,800,000 1,998,300,000 2,049,400,000 2,024,000,000 2,064,300,000 2,080,900,000 2,052,400,000 2,073,300,000 2,066,800,000 2,065,500,000 2,020,500,000 2,050,400,000 2,084,300,000 2,081,900,000 2,076,000,000 2,091,700,000 2,091,700,000 2,098,000,000 2,059,500,000 2,035,100,000 2,009,600,000 1,969,100,000 1,930,700,000 1,950,300,000 1,946,900,000 1,778,500,000 1,771,000,000 1,750,200,000 
        intangible assets
      645,100,000 654,700,000 664,300,000 674,500,000 682,400,000 690,100,000 703,200,000 711,900,000 791,300,000 805,900,000 822,800,000 841,000,000 857,800,000 874,500,000 885,400,000 899,000,000 908,100,000 922,200,000 937,400,000 956,400,000 972,700,000 991,200,000 991,800,000 1,023,800,000 1,062,700,000 1,062,600,000 1,093,600,000 1,146,500,000 1,193,100,000 1,128,200,000 1,166,500,000 1,203,900,000 
        equity method investments
      529,200,000 536,900,000 720,200,000 731,900,000 735,400,000 723,600,000 723,500,000 710,500,000 713,600,000 708,000,000 693,500,000 681,900,000 685,700,000 677,300,000 659,400,000 657,200,000 654,400,000 641,300,000 125,100,000 122,300,000 115,800,000 114,900,000 108,100,000 105,300,000 105,100,000 7,900,000 8,000,000 9,800,000 9,300,000 8,700,000 8,100,000 7,300,000 
        deferred tax assets
      217,300,000 149,000,000 164,500,000 135,900,000 65,100,000 93,100,000 124,200,000 109,300,000 99,800,000 67,400,000 74,700,000 57,100,000 58,100,000 58,600,000 77,600,000 62,700,000 65,000,000 65,500,000 60,300,000 61,000,000 60,600,000 61,400,000 84,700,000 82,800,000 79,700,000 86,600,000 80,900,000 84,100,000 84,700,000 84,000,000 67,400,000 68,600,000 
        non-current operating lease assets
      373,300,000 277,200,000 286,900,000 276,300,000 279,300,000 290,100,000 303,700,000 307,800,000 320,300,000 339,000,000 327,600,000 345,800,000 355,500,000 358,000,000 345,300,000 377,900,000 398,700,000 413,500,000 434,700,000 405,600,000 405,700,000 438,200,000 444,800,000 450,600,000 470,800,000 490,700,000 502,800,000 525,400,000 531,600,000    
        other non-current assets
      941,900,000 1,024,500,000 1,006,900,000 916,200,000 893,700,000 927,600,000 839,500,000 739,300,000 886,900,000 805,800,000 832,900,000 850,400,000 921,800,000 976,000,000 1,074,000,000 744,600,000 780,300,000 741,100,000 572,600,000 565,600,000 541,900,000 507,600,000 486,600,000 492,100,000 399,000,000 386,300,000 460,400,000 479,100,000 502,900,000 489,500,000 500,000,000 447,800,000 
        total assets
      7,648,100,000 7,676,600,000 7,691,400,000 7,555,400,000 7,407,500,000 7,549,200,000 7,534,000,000 7,343,000,000 7,491,100,000 7,774,000,000 7,582,400,000 7,640,100,000 7,621,700,000 7,949,300,000 7,621,600,000 7,733,800,000 7,756,100,000 7,890,400,000 7,476,300,000 7,256,000,000 7,130,800,000 7,337,900,000 7,128,400,000 7,076,200,000 6,619,400,000 7,163,400,000 6,654,400,000 6,758,900,000 6,707,500,000 6,546,000,000 6,432,400,000 5,846,700,000 
        liabilities and shareholders’ equity
                                      
        current liabilities:
                                      
        short-term borrowings and current portion of long-term debt
      129,800,000 124,900,000 129,200,000 174,800,000 108,500,000 103,200,000 96,400,000 141,700,000 125,000,000 149,700,000 118,900,000 36,700,000 33,700,000 49,800,000 46,300,000 44,500,000 43,300,000 42,400,000 41,300,000 39,000,000 40,000,000 39,700,000 37,400,000 38,100,000 38,800,000 39,300,000 40,300,000 40,100,000 38,700,000 39,900,000 40,600,000 40,300,000 
        accounts payable and accrued expenses
      1,159,300,000 1,225,000,000 1,194,700,000 1,147,200,000 1,095,100,000 1,110,500,000 1,068,600,000 1,032,400,000 1,093,600,000 1,157,700,000 1,113,500,000 1,125,200,000 1,132,300,000 1,199,000,000 1,077,700,000 1,091,000,000 1,083,500,000 1,106,200,000 1,042,600,000 996,600,000 1,038,000,000 1,054,400,000 1,023,500,000 1,024,900,000 1,037,600,000 1,145,300,000 957,600,000 998,900,000 982,200,000 1,047,700,000 748,400,000 746,200,000 
        accrued compensation
      871,400,000 1,021,500,000 898,500,000 744,600,000 759,300,000 900,400,000 799,900,000 671,900,000 708,100,000 851,400,000 751,400,000 694,700,000 759,400,000 916,500,000 854,700,000 886,000,000 840,100,000 976,300,000 810,900,000 729,700,000 661,700,000 720,500,000 627,100,000 555,300,000 637,900,000 888,800,000 666,700,000 621,400,000 580,000,000 817,900,000 874,900,000 834,200,000 
        income taxes payable
      86,500,000                                
        other current liabilities
      179,200,000 191,400,000 208,700,000 195,000,000 208,900,000 196,000,000 245,400,000 238,700,000 232,800,000 217,600,000 226,300,000 211,300,000 187,800,000 192,000,000 217,400,000 234,900,000 215,500,000 204,500,000 192,400,000 195,800,000 203,400,000 205,800,000 112,000,000 92,900,000 111,400,000 189,600,000 185,700,000 197,500,000 201,000,000 90,000,000 228,100,000 235,700,000 
        total current liabilities
      2,426,200,000 2,591,800,000 2,506,100,000 2,325,500,000 2,203,200,000 2,329,900,000 2,241,000,000 2,135,300,000 2,179,400,000 2,397,200,000 2,217,100,000 2,123,300,000 2,120,100,000 2,390,400,000 2,223,000,000 2,311,800,000 2,319,300,000 2,434,500,000 2,132,300,000 1,971,400,000 1,978,400,000 2,065,500,000 1,947,400,000 1,863,000,000 1,983,900,000 2,322,600,000 1,944,200,000 1,945,600,000 1,862,000,000 2,038,700,000 1,900,900,000 1,869,400,000 
        long-term debt
      2,621,000,000 2,624,900,000 2,720,100,000 2,820,400,000 2,910,500,000 2,939,600,000 2,997,000,000 3,001,700,000 3,065,900,000 3,096,900,000 3,125,200,000 3,226,400,000 3,228,000,000 3,211,700,000 3,211,600,000 3,212,200,000 3,215,900,000 3,220,500,000 3,223,000,000 3,225,900,000 3,230,500,000 3,235,700,000 3,239,500,000 3,243,000,000 2,611,100,000 2,620,300,000 2,625,300,000 2,631,300,000 2,639,100,000 2,644,200,000 2,646,500,000 3,002,200,000 
        deferred tax liabilities
      38,400,000 13,800,000 19,300,000 18,100,000 16,500,000 12,600,000 43,200,000 29,600,000 58,900,000 13,700,000 96,500,000 56,300,000 60,100,000 57,200,000 15,300,000 5,200,000 36,300,000 48,700,000 89,900,000 114,900,000 76,100,000 102,200,000 47,000,000 65,500,000 74,100,000 110,000,000 13,900,000 56,000,000 77,300,000 136,400,000 107,900,000 145,000,000 
        non-current operating lease liabilities
      369,200,000 246,600,000 260,600,000 246,600,000 254,800,000 270,300,000 279,800,000 283,800,000 296,900,000 319,600,000 305,600,000 324,300,000 332,800,000 334,600,000 331,200,000 359,800,000 377,800,000 394,600,000 411,600,000 383,300,000 378,900,000 405,600,000 415,400,000 424,200,000 443,300,000 457,100,000 468,500,000 491,600,000 492,900,000    
        other non-current liabilities
      240,600,000 243,700,000 227,300,000 240,700,000 245,600,000 241,400,000 270,000,000 253,100,000 264,600,000 268,600,000 266,500,000 287,800,000 301,200,000 293,300,000 262,400,000 258,400,000 268,300,000 343,500,000 382,900,000 393,000,000 360,100,000 433,300,000 402,800,000 421,500,000 422,600,000 352,100,000 368,300,000 346,400,000 305,800,000 366,600,000 368,000,000 389,500,000 
        total liabilities
      5,695,400,000 5,720,800,000 5,733,400,000 5,651,300,000 5,630,600,000 5,793,800,000 5,831,000,000 5,703,500,000 5,865,700,000 6,096,000,000 6,010,900,000 6,018,100,000 6,042,200,000 6,287,200,000 6,043,500,000 6,147,400,000 6,217,600,000 6,441,800,000 6,239,700,000 6,088,500,000 6,024,000,000 6,242,300,000 6,081,500,000 6,046,400,000 5,535,000,000 5,862,100,000 5,420,200,000 5,470,900,000 5,377,100,000 5,185,900,000 5,023,300,000 5,406,100,000 
        commitments and contingencies
                                      
        shareholders’ equity:
                                      
        common shares, par value 0.10 per share, 800,000,000 shares authorized; 234,287,353 and 231,699,585 shares issued and outstanding as of march 31, 2026 and december 31, 2025, respectively
      23,400,000                                
        additional paid-in capital
      3,033,400,000 3,038,400,000 3,020,400,000 3,006,200,000 2,992,200,000 2,986,400,000 2,970,700,000 2,959,400,000 2,954,600,000 2,957,300,000 2,943,900,000 2,929,800,000 2,916,100,000 2,911,500,000 2,901,500,000 2,892,000,000 2,880,000,000 2,896,600,000 2,871,700,000 2,854,300,000 2,846,500,000 2,843,400,000 2,835,100,000 2,832,700,000 2,822,100,000 2,819,500,000 2,810,900,000 2,814,300,000 2,801,400,000 2,791,200,000 2,789,200,000 1,770,600,000 
        accumulated deficit
      -910,300,000 -897,700,000 -875,300,000 -926,700,000 -984,000,000 -985,900,000 -1,098,800,000 -1,132,500,000 -1,146,000,000 -1,117,200,000 -1,187,000,000 -1,153,100,000 -1,158,200,000 -1,081,800,000 -1,111,600,000 -1,135,500,000 -1,232,700,000 -1,278,200,000 -1,424,000,000 -1,492,700,000 -1,545,400,000 -1,528,200,000 -1,500,900,000 -1,463,600,000 -1,362,800,000 -1,297,000,000 -1,300,100,000 -1,311,800,000 -1,318,100,000 -1,298,400,000 -1,302,200,000 -1,253,500,000 
        accumulated other comprehensive loss
      -194,200,000 -208,600,000 -210,800,000 -199,100,000 -254,900,000 -268,600,000 -192,400,000 -210,900,000 -206,700,000 -185,400,000 -208,600,000 -178,000,000 -201,600,000 -191,000,000 -235,100,000 -193,500,000 -132,200,000 -193,000,000 -234,200,000 -217,300,000 -217,500,000 -242,700,000 -310,300,000 -361,400,000 -396,800,000 -242,800,000 -298,100,000 -236,200,000 -174,600,000 -154,400,000 -98,800,000 -91,100,000 
        total equity attributable to the company
      1,952,300,000 1,955,300,000 1,957,500,000 1,903,500,000 1,776,400,000 1,754,900,000 1,702,400,000 1,638,900,000 1,624,800,000 1,677,400,000 1,571,000,000 1,621,400,000 1,579,000,000 1,661,300,000 1,577,400,000 1,585,600,000 1,537,700,000 1,447,800,000 1,235,800,000 1,166,600,000 1,105,900,000 1,094,700,000 1,046,100,000 1,029,400,000 1,084,200,000        
        non-controlling interests
      400,000 500,000 500,000 600,000 500,000 500,000 600,000 600,000 600,000 600,000 500,000 600,000 500,000 800,000 700,000 800,000 800,000 800,000 800,000 900,000 900,000 900,000 800,000 400,000 200,000        
        total equity
      1,952,700,000 1,955,800,000 1,958,000,000 1,904,100,000 1,776,900,000 1,755,400,000 1,703,000,000 1,639,500,000 1,625,400,000 1,678,000,000 1,571,500,000 1,622,000,000 1,579,500,000 1,662,100,000 1,578,100,000 1,586,400,000 1,538,500,000 1,448,600,000 1,236,600,000 1,167,500,000 1,106,800,000 1,095,600,000 1,046,900,000 1,029,800,000 1,084,400,000 1,301,300,000 1,234,200,000 1,288,000,000 1,330,400,000 1,360,100,000 1,409,100,000 440,600,000 
        total liabilities and shareholders’ equity
      7,648,100,000 7,676,600,000 7,691,400,000 7,555,400,000 7,407,500,000 7,549,200,000 7,534,000,000 7,343,000,000 7,491,100,000 7,774,000,000                       
        trade and other receivables, net of allowance of 93.2 and 88.7 as of december 31, 2025 and 2024, respectively
       1,515,500,000                               
        income tax receivable
       52,300,000 89,400,000 83,600,000 121,000,000 62,100,000 65,500,000 67,500,000 86,400,000 67,100,000 113,700,000 144,800,000 62,000,000 55,400,000 31,300,000 35,400,000 32,000,000 30,000,000 39,700,000 41,000,000 40,900,000 43,500,000 35,000,000 36,600,000 35,400,000 39,000,000 43,700,000 39,500,000 38,000,000 41,100,000 11,000,000 11,400,000 
        income tax payable
       29,000,000 75,000,000 63,900,000 31,400,000 19,800,000 30,700,000 27,600,000 19,900,000 20,800,000 7,000,000 55,400,000 6,900,000 33,100,000 26,900,000 55,400,000 136,900,000 105,100,000 45,100,000 10,300,000 35,300,000 45,100,000 35,300,000 40,100,000 44,100,000 59,600,000 93,900,000 87,700,000 60,100,000 43,200,000 8,900,000 13,000,000 
        common shares, par value 0.10 per share, 800,000,000 shares authorized; 231,699,585 and 229,696,912 shares issued and outstanding as of december 31, 2025 and 2024, respectively
       23,200,000                               
        trade and other receivables, net of allowance of 91.7 and 88.7, as of september 30, 2025 and december 31, 2024, respectively
        1,434,200,000                              
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 231,604,548 and 229,696,912 shares issued and outstanding as of september 30, 2025 and december 31, 2024, respectively
        23,200,000                              
        trade and other receivables, net of allowance of 89.8 and 88.7, as of june 30, 2025 and december 31, 2024, respectively
         1,394,700,000                             
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 231,472,077 and 229,696,912 shares issued and outstanding as of june 30, 2025 and december 31, 2024, respectively
         23,100,000                             
        trade and other receivables, net of allowance of 89.0 and 88.7, as of march 31, 2025 and december 31, 2024, respectively
          1,307,200,000                            
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 231,281,053 and 229,696,912 shares issued and outstanding as of march 31, 2025 and december 31, 2024, respectively
          23,100,000                            
        trade and other receivables, net of allowance of 88.7 and 85.2 as of december 31, 2024 and 2023, respectively
           1,352,400,000                           
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 229,696,912 and 227,282,173 shares issued and outstanding as of december 31, 2024 and 2023, respectively
           23,000,000                           
        trade and other receivables, net of allowance of 89.4 and 85.2, as of september 30, 2024 and december 31, 2023, respectively
            1,278,100,000                          
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 229,420,978 and 227,282,173 shares issued and outstanding as of september 30, 2024 and december 31, 2023, respectively
            22,900,000                          
        trade and other receivables, net of allowance of 87.8 and 85.2, as of june 30, 2024 and december 31, 2023, respectively
             1,283,700,000                         
        assets held for sale
             147,700,000                         
        liabilities associated with assets held for sale
             23,000,000                         
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 229,191,378 and 227,282,173 shares issued and outstanding as of june 30, 2024 and december 31, 2023, respectively
             22,900,000                         
        trade and other receivables, net of allowance of 85.1 and 85.2, as of march 31, 2024 and december 31, 2023, respectively
              1,265,900,000                        
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 228,992,219 and 227,282,173 shares issued and outstanding as of march 31, 2024 and december 31, 2023, respectively
              22,900,000                        
        trade and other receivables, net of allowance of 85.2 and 88.2 as of december 31, 2023 and 2022, respectively
               1,468,000,000                       
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 227,282,173 and 225,780,535 shares issued and outstanding as of december 31, 2023 and 2022, respectively
               22,700,000                       
        trade and other receivables, net of allowance of 82.2 and 88.2, as of september 30, 2023 and december 31, 2022, respectively
                1,359,600,000                      
        liabilities and shareholders' equity
                                      
        shareholders' equity:
                                      
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 227,185,389 and 225,780,535 shares issued and outstanding as of september 30, 2023 and december 31, 2022, respectively
                22,700,000                      
        total liabilities and shareholders' equity
                7,582,400,000 7,640,100,000 7,621,700,000 7,949,300,000 7,621,600,000 7,733,800,000 7,756,100,000 7,890,400,000 7,476,300,000 7,256,000,000 7,130,800,000 7,337,900,000 7,128,400,000 7,076,200,000 6,619,400,000 7,163,400,000 6,654,400,000 6,758,900,000 6,707,500,000 6,546,000,000 6,432,400,000 5,846,700,000 
        trade and other receivables, net of allowance of 82.2 and 88.2, as of june 30, 2023 and december 31, 2022, respectively
                 1,336,100,000                     
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 227,130,455 and 225,780,535 shares issued and outstanding as of june 30, 2023 and december 31, 2022, respectively
                 22,700,000                     
        trade and other receivables, net of allowance of 86.0 and 88.2, as of march 31, 2023 and december 31, 2022, respectively
                  1,326,500,000                    
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 227,047,977 and 225,780,535 shares issued and outstanding as of march 31, 2023 and december 31, 2022, respectively
                  22,700,000                    
        trade and other receivables, net of allowance of 88.2 and 72.2 as of december 31, 2022 and 2021, respectively
                   1,462,400,000                   
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 225,780,535 and 223,709,308 shares issued and outstanding as of december 31, 2022 and 2021, respectively
                   22,600,000                   
        trade and other receivables, net of allowance of 80.2 million and 72.2 million, as of september 30, 2022 and december 31, 2021, respectively
                    1,323,400,000                  
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 225,756,656 and 223,709,308 shares issued and outstanding as of september 30, 2022 and december 31, 2021, respectively
                    22,600,000                  
        trade and other receivables, net of allowance of 79.8 million and 72.2 million, as of june 30, 2022 and december 31, 2021, respectively
                     1,540,400,000                 
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 225,663,686 and 223,709,308 shares issued and outstanding as of june 30, 2022 and december 31, 2021, respectively
                     22,600,000                 
        trade and other receivables, net of allowance of 78.2 million and 72.2 million, as of march 31, 2022 and december 31, 2021, respectively
                      1,372,700,000                
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 225,445,522 and 223,709,308 shares issued and outstanding as of march 31, 2022 and at december 31, 2021, respectively
                      22,600,000                
        trade and other receivables, net of allowance of 72.2 million and 70.9 million, as of december 31, 2021 and 2020, respectively
                       1,446,000,000               
        ordinary shares, nominal value 0.10 per share, 800,000,000 shares authorized; 223,709,308 and 221,960,472 shares issued and outstanding at december 31, 2021 and 2020, respectively
                       22,400,000               
        trade and other receivables, net of allowance of 77.7 million and 70.9 million, as of september 30, 2021 and december 31, 2020, respectively
                        1,284,800,000              
        ordinary shares, nominal value 0.10 per share, 223.4 and 222.0 shares issued and outstanding at september 30, 2021 and at december 31, 2020, respectively
                        22,300,000              
        trade and other receivables, net of allowance of 78.1 million and 70.9 million, as of june 30, 2021 and december 31, 2020, respectively
                         1,186,600,000             
        ordinary shares, nominal value 0.10 per share, 223.3 and 222.0 shares issued and outstanding at june 30, 2021 and at december 31, 2020, respectively
                         22,300,000             
        trade and other receivables, net of allowance of 77.6 million and 70.9 million, as of march 31, 2021 and december 31, 2020, respectively
                          1,161,200,000            
        ordinary shares, nominal value 0.10 per share, 222.9 and 222.0 shares issued and outstanding at march 31, 2021 and at december 31, 2020, respectively
                          22,300,000            
        trade and other receivables, net of allowance balance of 70.9 million and 58.4 million, as of december 31, 2020 and 2019, respectively
                           1,301,600,000           
        ordinary shares, nominal value 0.10 per share, 222.0 shares issued and outstanding at december 31, 2020 and ordinary shares, nominal value 0.10 per share, 219.5 shares issued and outstanding at december 31, 2019
                           22,200,000           
        trade and other receivables, net of allowance balance of 81.5 million and 58.4 million, as of september 30, 2020 and december 31, 2019, respectively
                            1,210,500,000          
        prepaid expenses
                            98,100,000 108,600,000         
        other current assets
                            449,200,000 425,400,000         
        current operating lease liabilities
                            112,100,000 111,700,000 114,100,000        
        long-term tax liabilities
                            29,400,000 29,200,000         
        ordinary shares, nominal value 0.10 per share, 221.8 and 219.5 shares issued and outstanding at september 30, 2020 and at december 31, 2019, respectively
                            22,200,000          
        trade and other receivables, net of allowance balance of 74.1 million and 58.4 million, as of june 30, 2020 and december 31, 2019, respectively
                             1,184,700,000         
        ordinary shares, nominal value 0.10 per share, 220.8 and 219.5 shares issued and outstanding at june 30, 2020 and at december 31, 2019, respectively
                             22,100,000         
        treasury stock
                             -400,000 -400,000 -400,000 -400,000      
        trade and other receivables, net of allowance balance of 63.1 million and 58.4 million, as of march 31, 2020 and december 31, 2019, respectively
                              1,244,600,000        
        ordinary shares, nominal value 0.10 per share, 220.5 and 219.5 shares issued and outstanding at march 31, 2020 and at december 31, 2019, respectively
                              22,100,000        
        trade and other receivables, net of allowance balance of 58.4 million and 49.5 million,as of december 31, 2019 and 2018, respectively
                               1,524,200,000       
        ordinary shares, nominal value 0.10 per share, 219.5 shares issued and outstanding at december 31, 2019 and ordinary shares nominal value 0.10 per share, 216.6 shares issued and outstanding at december 31, 2018
                               22,000,000       
        trade and other receivables, net of allowance balance of 56.7 million and 49.5 million, as of september 30, 2019 and december 31, 2018, respectively
                                1,352,000,000      
        ordinary shares, nominal value 0.10 per share, 219.0 and 216.6 shares issued and outstanding at september 30, 2019 and at december 31, 2018, respectively
                                21,900,000      
        trade and other receivables, net of allowance balance of 57.5 million and 49.5 million, as of june 30, 2019 and december 31, 2018, respectively
                                 1,362,400,000     
        ordinary shares, nominal value 0.10 per share, 217.0 and 216.6 shares issued and outstanding at june 30, 2019 and at december 31, 2018, respectively
                                 21,700,000     
        trade and other receivables, net of allowance balance of 51.2 million and 49.5 million,as of march 31, 2019 and december 31, 2018, respectively
                                  1,370,900,000    
        ordinary shares, nominal value 0.10 per share, 216.7 and 216.6 shares issued and outstanding at march 31, 2019 and at december 31, 2018, respectively
                                  21,700,000    
        trade and other receivables, net of allowance balance of 49.5 million and 35.3 million,as of december 31, 2018 and 2017, respectively
                                   1,463,500,000   
        ordinary shares, nominal value 0.10 per share, 216.6 shares issued and outstanding at december 31, 2018 and ordinary shares nominal value 10.00 per share, 145.1 shares issued and outstanding at december 31, 2017
                                   21,700,000   
        trade and other receivables, net of allowance balance of 42.4 million and 35.3 million,as of september 30, 2018 and december 31, 2017, respectively
                                    1,299,900,000  
        ordinary shares, nominal value 0.10 per share, 208.7 issued and outstanding at september 30, 2018 and ordinary shares nominal value 10.00 per share, 145.1 shares issued and outstanding at december 31, 2017
                                    20,900,000  
        trade and other receivables, net of allowance balance of 44.1 million and 35.3 million,as of june 30, 2018 and december 31, 2017, respectively
                                     1,345,900,000 
        ordinary shares, nominal value 0.10 per share, 145.8 issued and outstanding at june 30, 2018 and ordinary shares nominal value 10.00 per share, 145.1 shares issued and outstanding at december 31, 2017
                                     14,600,000 
      Cashflow Statements:
      Quarterly
      Annual
        Unit: USD2026-03-31 2025-12-31 2025-09-30 2025-06-30 2025-03-31 2024-12-31 2024-09-30 2024-06-30 2024-03-31 2023-12-31 2023-09-30 2023-06-30 2023-03-31 2022-12-31 2022-09-30 2022-06-30 2022-03-31 2021-12-31 2021-09-30 2021-06-30 2021-03-31 2020-12-31 2020-09-30 2020-06-30 2020-03-31 2019-12-31 2019-09-30 2019-06-30 2019-03-31 2018-12-31 2018-09-30 
                                       
          cash flows from operating activities
                                       
          net income
        -12,600,000 -22,400,000 51,400,000 57,300,000 1,900,000 112,900,000    69,800,000 -33,900,000 5,100,000 -76,400,000 29,800,000 23,900,000 97,200,000 45,500,000 145,800,000 68,700,000             
          reconciliation of net income to net cash from operating activities:
                                       
          depreciation and amortization
        25,300,000 25,500,000 25,800,000 26,200,000 26,700,000 29,600,000 28,900,000 31,200,000 32,500,000 36,800,000 36,200,000 35,700,000 36,900,000 32,700,000 33,900,000 39,700,000 40,600,000 43,800,000 42,700,000 42,500,000 43,100,000 52,100,000 64,900,000 74,600,000 72,000,000 73,900,000 75,000,000 74,300,000 73,500,000 77,000,000 71,600,000 
          impairment charges
         6,500,000 2,600,000 100,000 1,100,000 9,100,000 2,400,000 300,000 1,800,000   100,000 2,000,000 2,500,000 6,700,000 7,100,000 -100,000 400,000 2,800,000 8,300,000 3,900,000   
          unrealized foreign exchange loss
        2,500,000    200,000    -2,400,000    1,300,000 9,000,000 -3,300,000 -4,100,000 -5,600,000    1,500,000 100,000 -1,100,000 -10,100,000 5,800,000 -4,700,000    600,000 -1,800,000 
          stock-based compensation
        16,300,000 14,100,000 14,000,000 14,100,000 16,000,000 13,300,000 10,400,000 5,500,000 6,400,000 14,200,000 14,600,000 14,000,000 11,300,000 10,100,000 9,700,000 11,800,000 8,700,000 22,600,000 17,800,000 10,600,000 7,200,000 7,700,000 9,500,000 12,900,000 11,900,000 15,100,000 16,200,000 15,500,000 14,500,000 32,200,000 24,100,000 
          lease amortization
        22,200,000 21,900,000 21,200,000 21,700,000 21,700,000 18,600,000 22,500,000 23,400,000 22,000,000 26,200,000 23,100,000 23,800,000 24,700,000 29,200,000 23,200,000 24,700,000 25,100,000 26,900,000 26,300,000 24,000,000 27,000,000 33,200,000 29,200,000 28,000,000 27,800,000 33,000,000 28,700,000 28,400,000 27,800,000   
          amortization of debt issuance costs
        2,000,000 2,000,000 2,000,000 2,000,000 2,000,000 2,000,000 1,800,000 2,200,000 1,500,000 1,700,000 1,900,000 1,900,000 2,000,000 4,400,000 1,700,000 1,100,000 2,400,000 2,400,000 2,300,000 2,400,000 2,300,000 2,600,000 2,400,000 1,800,000 3,200,000 900,000 1,200,000 1,300,000 1,000,000 2,100,000 2,600,000 
          loss (earnings) from equity method investments, net of distributions received
        10,100,000                               
          change in deferred taxes
        -49,600,000 11,200,000 -24,700,000 -66,200,000 34,700,000 -5,200,000 7,200,000 -38,200,000 8,100,000 -63,400,000 17,100,000 -7,600,000 3,500,000 60,900,000 -7,600,000 -26,300,000 -12,400,000 -45,700,000 -24,300,000 39,100,000 -25,400,000 80,000,000 -18,500,000 -9,700,000 -34,000,000 90,700,000 -39,100,000 -24,900,000 -76,500,000 3,300,000 -38,100,000 
          provision for loss on receivables and other assets
        4,800,000 14,100,000 5,500,000 -200,000 2,800,000 10,100,000 3,000,000 5,300,000 2,400,000 5,800,000 3,000,000 -100,000 1,900,000 13,900,000 7,900,000 5,000,000 4,900,000 9,200,000 7,400,000 8,900,000 12,500,000           
          unrealized loss on investments
        1,100,000                               
          other operating activities
        25,400,000 -10,300,000 -4,600,000 -7,000,000 -8,400,000 -4,800,000 -5,900,000 -10,700,000 -5,200,000 700,000 6,600,000 7,800,000 1,600,000 4,100,000 -700,000 -24,600,000 17,800,000               
          changes in assets and liabilities:
                                       
          trade and other receivables
        54,500,000 -81,600,000 -88,000,000 -60,300,000 90,000,000 -140,300,000 -53,800,000 -22,600,000 138,000,000 -88,000,000 36,100,000 -3,900,000 118,300,000 -111,200,000 -28,100,000 -176,000,000 16,400,000 -156,700,000 -108,200,000 -61,800,000 114,200,000 -79,100,000 -21,700,000 64,700,000 227,600,000 -160,100,000 -21,200,000 13,900,000 128,500,000 -232,200,000 32,300,000 
          income taxes payable, net of income taxes receivable
        28,400,000                               
          short-term contract assets and prepaid expenses and other current assets
        -108,300,000 16,600,000 60,000,000 28,000,000 -74,400,000 3,100,000 20,500,000 29,200,000 -32,000,000 36,800,000 55,200,000 36,900,000 -56,100,000 -12,600,000 56,800,000 -68,800,000 -78,100,000 -28,700,000 -9,200,000 -27,600,000 -39,700,000           
          other non-current assets
        -38,600,000 -8,800,000 -45,000,000 -28,300,000 -39,100,000 -43,900,000 10,900,000 20,800,000 -45,800,000 7,900,000 6,100,000 -17,000,000 -21,700,000 93,600,000 -29,300,000 3,500,000 -98,400,000 -26,900,000 -3,500,000 -18,300,000 -14,800,000 -17,300,000 16,600,000 -7,900,000 4,300,000 -4,800,000 23,600,000 18,900,000 -5,300,000 15,800,000 62,700,000 
          accounts payable and accrued expenses
        -63,500,000 54,200,000 53,600,000 28,900,000 -28,000,000 73,000,000 22,800,000 -24,000,000 -55,000,000 32,000,000 -9,200,000 -3,100,000 -69,100,000 99,500,000 12,500,000 20,300,000 -7,200,000 85,100,000 53,000,000 5,600,000 -12,600,000 -9,200,000 -13,900,000 -23,700,000 -109,400,000 167,000,000 -13,200,000 22,200,000 -116,000,000 85,500,000 7,800,000 
          accrued compensation
        -147,100,000 124,300,000 159,300,000 -28,000,000 -148,900,000 120,500,000 121,200,000 -30,400,000 -137,000,000 97,200,000 62,800,000 -68,800,000 -158,900,000 51,000,000 -7,400,000 45,500,000 -130,500,000 131,100,000 85,400,000 75,100,000 -64,500,000 115,700,000 67,900,000 -86,400,000 -280,800,000 212,400,000 51,800,000 43,200,000 -243,900,000 184,900,000 40,400,000 
          other current and non-current liabilities
        -16,400,000 -35,300,000 -12,200,000 -50,800,000 -7,800,000 -72,600,000 -15,300,000 -24,100,000 -3,900,000 -37,000,000 -16,100,000 -7,700,000 -23,100,000 -41,700,000 -41,100,000 7,800,000 -19,200,000 -9,600,000 -32,900,000 -25,200,000 -36,600,000 -51,500,000 -20,000,000 -23,200,000 -22,500,000 -53,100,000 -41,400,000 -33,000,000 -37,300,000 -177,500,000 -22,500,000 
          net cash from operating activities
        -243,500,000 257,300,000 235,500,000 9,600,000 -162,000,000 115,200,000 196,100,000 21,800,000 -125,100,000 202,400,000 188,100,000 -16,800,000 -221,500,000 243,700,000 51,700,000 -88,100,000 -158,200,000 299,200,000 163,400,000 103,300,000 -16,400,000 184,300,000 77,400,000 -50,000,000 -249,900,000 369,900,000 57,700,000 56,600,000 -214,900,000 37,900,000 139,300,000 
          capital expenditures
          free cash flows
        -243,500,000 257,300,000 235,500,000 9,600,000 -162,000,000 115,200,000 196,100,000 21,800,000 -125,100,000 202,400,000 188,100,000 -16,800,000 -221,500,000 243,700,000 51,700,000 -88,100,000 -158,200,000 299,200,000 163,400,000 103,300,000 -16,400,000 184,300,000 77,400,000 -50,000,000 -249,900,000 369,900,000 57,700,000 56,600,000 -214,900,000 37,900,000 139,300,000 
          cash flows from investing activities
                                       
          payment for property and equipment
        -12,200,000 -23,000,000 -10,500,000 -9,300,000 -4,600,000 -9,300,000 -9,400,000 -11,800,000 -10,500,000 -16,200,000 -14,200,000 -10,600,000 -10,000,000 -6,300,000 -13,900,000 -11,600,000 -18,900,000 -22,000,000 -10,900,000 -8,000,000 -12,900,000 -14,100,000 -9,100,000 -8,000,000 -9,800,000 -32,900,000 -17,100,000 -16,600,000 -13,700,000 -22,700,000 -30,200,000 
          acquisition of business, net of cash acquired
                                       
          investments in equity securities
        -1,100,000 -400,000 -500,000 -900,000 -7,100,000              -5,400,000 -4,700,000 -15,900,000 -700,000 -3,300,000 700,000 -11,300,000 -600,000 -2,200,000   -1,500,000 -1,100,000 
          return of beneficial interest in a securitization
        -120,000,000 -250,000,000 -150,000,000 -130,000,000 -100,000,000 -125,000,000 -180,000,000 -100,000,000 -100,000,000 -120,000,000 -170,000,000                 
          collection on beneficial interest in a securitization
        225,000,000 270,000,000 100,000,000 150,000,000 130,000,000 100,000,000 125,000,000 180,000,000 100,000,000 100,000,000 120,000,000 120,000,000 90,000,000 80,000,000               
          other investing activities
        2,400,000 -200,000 900,000 700,000 7,200,000 200,000 1,000,000 100,000 5,300,000 3,400,000 -1,900,000 -1,900,000 500,000 -100,000 -9,300,000 -1,000,000    -700,000 -7,800,000     -4,700,000 -100,000 
          net cash from investing activities
        94,100,000 7,900,000 -60,100,000 10,500,000 20,600,000 -33,100,000 57,400,000 67,700,000 -10,800,000 -31,300,000 -65,200,000 72,100,000 73,300,000 -13,000,000 -110,300,000 -33,700,000 36,300,000 -691,700,000 -16,300,000 -12,700,000 -28,800,000 -21,000,000 -13,100,000 -92,300,000 -131,400,000 44,500,000 -19,200,000 -24,300,000 -275,900,000 -42,700,000 -138,400,000 
          cash flows from financing activities
                                       
          shares repurchased for payment of employee taxes on stock awards
        -22,200,000 -300,000 -500,000 -200,000 -10,200,000 -200,000 -500,000 -600,000 -9,100,000 -400,000 -300,000 -200,000 -7,200,000 -100,000 -500,000 -400,000 -26,200,000 -100,000 -900,000 -2,800,000 -4,800,000 -100,000 -7,500,000 -2,400,000 -8,900,000 -6,600,000 -19,400,000 -2,700,000 -3,100,000 -8,500,000 -4,600,000 
          payment of deferred and contingent consideration
        -200,000 -6,700,000 -800,000 -5,400,000 -100,000 -200,000 -3,600,000 -12,400,000 -1,900,000 -700,000 -1,200,000 -6,100,000 -6,500,000 -6,700,000                  
          repayment of borrowings
         -100,000,000 -150,000,000 -25,000,000 -25,000,000 -50,400,000 -50,000,000 -45,000,000 -55,000,000 -2,500,000 -1,402,500,000 -1,000,000,000 -6,700,000 -6,700,000 -6,600,000 -6,700,000 -6,700,000 -6,700,000 -6,600,000 -6,700,000 -6,700,000 -6,600,000   -6,700,000 -6,600,000 -6,900,000 -6,800,000 -7,100,000 -3,072,100,000 
          payment of finance lease liabilities
        -5,700,000 -6,200,000 -6,600,000 -6,900,000 -6,400,000 -7,700,000 -5,000,000 -8,600,000 -6,900,000 -9,400,000 -6,200,000 -6,300,000 -7,300,000 -5,000,000 -4,600,000 -3,800,000 -3,900,000 -3,800,000 -3,300,000 -3,000,000 -3,300,000 -4,100,000 -3,100,000 -3,200,000 -3,600,000 -2,300,000 -3,200,000 -3,200,000 -2,800,000 -2,000,000 -1,300,000 
          other financing activities
         -4,200,000 2,400,000 1,200,000 400,000 2,600,000 2,100,000   -1,000,000 400,000 1,700,000 200,000 300,000 1,400,000 1,000,000 2,300,000 3,300,000 -400,000 1,200,000 2,800,000 600,000 1,400,000 -300,000 -2,400,000 -100,000 -500,000 700,000 -400,000 -2,400,000 
          net cash from financing activities
        -28,100,000 -117,400,000 -155,500,000 -36,300,000 -41,300,000 -55,900,000 -57,000,000 -67,600,000 -72,900,000 -13,700,000 -52,100,000 -12,200,000 -42,800,000 -18,300,000 -15,700,000 -9,400,000 -35,900,000 -28,700,000 -9,500,000 -14,000,000 -13,600,000 -9,600,000 -20,700,000 626,100,000 -23,900,000 -18,700,000 -39,000,000 -19,900,000 -12,000,000 -18,300,000 563,100,000 
          change in cash, cash equivalents and restricted cash
        -177,500,000 147,800,000 19,900,000 -16,200,000 -182,700,000 26,200,000 196,500,000 21,900,000 -208,800,000 157,400,000 70,800,000 43,100,000 -191,000,000 212,400,000 -74,300,000 -131,200,000 -157,800,000 -421,200,000 137,600,000 76,600,000 -58,800,000 153,700,000 43,600,000 483,800,000 -405,200,000 395,700,000 -500,000 12,400,000 -502,800,000 -23,100,000 564,000,000 
          cash, cash equivalents and restricted cash, beginning of the period
        803,500,000  814,600,000  801,200,000  719,000,000  890,300,000  1,164,100,000  872,300,000  965,400,000  
          effects of exchange rate fluctuations on cash, cash equivalents and restricted cash
        -6,500,000 -5,100,000 -5,100,000 22,000,000 8,300,000 -24,500,000 11,500,000 -2,800,000 -6,600,000 8,500,000 -8,300,000 -800,000 2,500,000 16,800,000 -18,600,000 -14,300,000 -4,300,000 -1,700,000 -4,100,000 1,300,000 -3,500,000 15,300,000 9,000,000 8,100,000 -16,500,000 7,100,000 -6,500,000 800,000 700,000 -8,700,000 -1,400,000 
          cash, cash equivalents and restricted cash, end of the period
        619,500,000  14,800,000 5,800,000 640,200,000  208,000,000 19,100,000 585,800,000  62,500,000 42,300,000 530,500,000  -92,900,000 -145,500,000 728,200,000  133,500,000 77,900,000 1,101,800,000  52,600,000 491,900,000 450,600,000  -7,000,000 13,200,000 463,300,000  562,600,000 
          loss on debt extinguishment
         1,600,000        10,600,000 8,700,000                  
          earnings from equity method investments, net of distributions received
           5,300,000 -11,100,000 -5,300,000 -8,100,000 2,400,000 -7,700,000                       
          impairment of equity method investment
                                       
          loss on disposition of business
                                       
          income taxes payable
         -17,100,000 4,800,000 70,700,000 -47,500,000 -8,500,000 4,900,000 26,000,000 -20,300,000 50,800,000 -17,500,000 -35,000,000 -32,400,000 -17,400,000 -24,600,000 -84,500,000 30,400,000 85,900,000 35,400,000 -15,400,000 -14,400,000 -11,300,000 -3,200,000 -4,900,000 -14,900,000 -14,300,000 1,100,000 18,400,000 21,800,000 4,600,000 -3,200,000 
          proceeds from disposition of business or other investments
                                       
          proceeds from borrowings
                 1,400,000,000 1,000,000,000                   
          debt issuance costs
                 300,000 -41,900,000 -23,500,000         -11,600,000 -11,100,000     -22,600,000 
          cash, cash equivalents and restricted cash, beginning of the year
                                       
          cash, cash equivalents and restricted cash, end of the year
                                       
          unrealized foreign exchange gain
          -1,900,000    2,500,000    -2,500,000        1,900,000             
          unrealized loss on equity securities
          300,000 -300,000 700,000 -900,000 700,000 1,000,000 4,900,000 4,000,000 8,200,000 10,700,000 1,900,000 33,500,000                 
          gain from insurance proceeds
                                       
          acquisitions of businesses, net of cash acquired
          -4,900,000         -1,200,000 -12,400,000 -15,300,000 -3,900,000 -5,800,000    -6,200,000 -102,500,000 -7,400,000 -6,300,000 -262,200,000 -13,300,000  
          proceeds from disposition of business
             1,200,000                          
          loss on disposal of business
             -1,200,000 4,500,000   -100,000 100,000 1,300,000 -800,000 200,000 13,800,000               
          investments in equity securities and equity method joint ventures
             -200,000 -600,000 -500,000 -400,000 -400,000 -1,000,000 -700,000 -4,800,000 -3,600,000 -4,500,000 -6,700,000 -11,600,000               
          net loss
               13,500,000 -28,800,000            -17,200,000  -37,300,000 -100,800,000 -55,100,000  11,700,000 6,300,000 -20,900,000 -12,900,000 -48,700,000 
          reconciliation of net loss to net cash from operating activities:
                                       
          earnings from equity method investments, net of dividends received
                  -12,300,000 -2,600,000 -7,800,000 -14,300,000 -9,200,000 -9,400,000 -12,500,000               
          proceeds from senior secured notes
                                     
          payment of contingent consideration
                       -100,000 -20,400,000 -1,900,000   -1,500,000 -4,100,000   -900,000 -9,700,000   -14,500,000 
          net proceeds from issuance of shares
                                 200,000   200,000 
          other non-cash operating activities
                          -1,900,000 -17,700,000 -6,100,000 -20,600,000 -10,800,000 3,800,000 -36,900,000 1,100,000 -6,500,000 -11,600,000 200,000 -100,000 -11,400,000 
          short-term contract assets and prepaid and other current assets
                                       
          proceeds from long-term borrowings
                                     2,686,500,000 
          proceeds from initial public offering, net of underwriting
                                      
          proceeds from private placement
                                      
          payments of initial offering and private placement costs
                                     -300,000  
          bad debt expense
                              8,600,000 13,600,000 4,300,000 3,900,000 9,400,000 2,800,000 6,000,000 9,300,000 1,200,000 
          prepaid expenses and other current assets
                              4,400,000 17,300,000 -56,000,000 -2,500,000 -41,100,000 -119,100,000 7,800,000 42,600,000 -28,100,000 
          proceeds from sale of property and equipment
                                  100,000     
          gain on pension curtailment
                                       
          proceeds from sale of property, plant and equipment
                                      200,000 
          fees incurred in conjunction with debt modification
                                       
          sale of business, net of cash acquired
                                       
          acquisition of non-controlling interests