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CONDENSED CONSOLIDATED STATEMENTS OF CASH FLOWS (UNAUDITED) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended 12 Months Ended
Sep. 30, 2025
Dec. 31, 2024
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
Dec. 31, 2024
Cash flows provided by operating activities:            
Net income $ 2,355   $ 197,128 $ 339,478 $ 531,476  
Adjustments to reconcile net income to net cash provided by operating activities:            
Depreciation and amortization expense       292,171 391,845  
Goodwill impairment 165,300   0 165,300 0 $ 0
Impairment of operating right-of-use assets and related property, plant and equipment       5,573 12,559  
Reduction in carrying value of operating right-of-use assets       29,473 29,820  
Amortization of financing costs and debt discount       4,470 22,066  
Stock compensation expense       72,529 41,183  
Deferred tax benefit       (91,788) (86,579)  
Unrealized foreign exchange movements       24,661 34,018  
Other non-cash items       20,561 26,828  
Changes in operating assets and liabilities:            
Accounts receivable       1,013 352,795  
Unbilled revenue       25,979 (423,533)  
Unearned revenue       (101,089) (72,930)  
Other net assets and liabilities       13,712 88,790  
Net cash provided by operating activities       802,043 948,338  
Cash flows used in investing activities:            
Purchase of property, plant and equipment       (114,885) (106,772)  
Purchase of subsidiary undertakings (net of cash acquired)       (2,537) (85,629)  
Movement of available for sale investments       0 1,954  
Proceeds from investments in equity       2,114 2,671  
Purchase of investments in equity       (16,286) (10,131)  
Net cash used in investing activities       (131,594) (197,907)  
Cash flows used in financing activities:            
New Notes issue costs       0 (12,678)  
Drawdown of credit lines and loan facilities       50,000 2,242,480  
Repayment of credit lines and loan facilities       (72,321) (2,595,323)  
Proceeds from exercise of equity compensation       7,319 32,379  
Share issue costs       (14) (17)  
Repurchase of ordinary shares       (750,000) (100,000)  
Share repurchase costs       (450) (68)  
Net cash used in financing activities       (765,466) (433,227)  
Effect of exchange rate movements on cash       25,120 201  
Net (decrease) / increase in cash and cash equivalents       (69,897) 317,405  
Cash and cash equivalents at beginning of period   $ 695,507   538,785 378,102 378,102
Cash and cash equivalents at end of period $ 468,888 $ 538,785 $ 695,507 $ 468,888 $ 695,507 $ 538,785