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Condensed Consolidated Statements of Cash Flows (Unaudited) - USD ($)
$ in Millions
 3 Months Ended 6 Months Ended 12 Months Ended
Jun. 30, 2025
Mar. 31, 2025
Jun. 30, 2024
Mar. 31, 2024
Jun. 30, 2025
Jun. 30, 2024
Dec. 31, 2024
Operating Activities:              
Net loss $ (12.2) $ (71.8) $ (188.5) $ (172.7) $ (84.0) $ (361.2)  
Adjustments to reconcile net loss to net cash used in operating activities:              
Depreciation and amortization 153.8   142.7   302.3 293.2  
Share-based compensation         2.8 1.9  
Amortization of debt discount and debt issuance costs         29.3 34.4  
Impairment of long-lived assets 0.4   27.3   1.1 27.3  
Provision for credit losses 1.1   1.0   2.3 1.9  
Non-cash foreign currency exchange (gain) loss, net         (85.2) 15.1  
(Gain) loss on deconsolidation of subsidiaries and related adjustments (5.2)   22.9   (5.2) 22.9  
Writeoff of unamortized debt discount and debt issuance costs         10.3 0.0  
Gain on disposal of business         (4.9) (9.1)  
Deferred income taxes         0.0 (9.1)  
Other operating activities, net         (7.2) (10.5)  
Changes in assets and liabilities:              
Trade and other receivables, net         (94.4) (62.4)  
Prepaid expenses and other current assets         (120.9) (65.6)  
Accounts payable and other current liabilities         (101.1) 13.0  
Other noncurrent assets and liabilities         (3.0) (11.3)  
Operating leases, net         (4.4) (3.1)  
Net cash used in operating activities         (162.2) (122.6)  
Investing Activities:              
Acquisition of businesses, net of cash acquired         0.0 20.2  
Payment for asset acquisition         (11.3) 0.0  
Proceeds from sale of businesses, net of cash disposed         67.7 312.6  
Additions to property and equipment         (11.8) (8.9)  
Additions to intangible assets         (105.5) (125.8)  
Cash deconsolidated from previously controlled subsidiaries         0.0 (14.5)  
Other investing activities, net         (5.8) (2.7)  
Net cash (used in) provided by investing activities         (66.7) 180.9  
Financing Activities:              
Proceeds from issuance of debt and borrowings under revolving credit facility         810.3 777.6  
Repayments of debt and borrowings under revolving credit facility         (600.6) (816.8)  
Debt issuance costs paid 0.0 (2.5) (1.6)   (2.5) (1.6)  
Payment of deferred offering costs         (2.2) 0.0  
Finance leases         (7.8) (9.8)  
Cash dividends paid to noncontrolling interests         (3.4) (10.3)  
Other financing activities, net         10.5 8.7  
Net cash provided by (used in) financing activities         204.3 (52.2)  
Effect of exchange-rate changes on cash and cash equivalents         20.3 (11.1)  
Net decrease in cash and cash equivalents         (4.3) (5.0)  
Cash and cash equivalents at beginning of period   $ 263.8   $ 282.4 263.8 282.4 $ 282.4
Cash and cash equivalents at end of period $ 259.5   $ 277.4   259.5 277.4 $ 263.8
Supplemental Disclosures of Cash Flow Information:              
Cash paid for interest         167.5 213.5  
Cash paid for income taxes, net of refunds received         60.2 58.2  
Supplemental Disclosures of Non-Cash Items:              
Deferred offering costs included in accrued expenses         $ 13.7 $ 0.0