Condensed Consolidated Statements of Cash Flows - USD ($) $ in Millions	6 Months Ended
	Jun. 30, 2025	Jun. 30, 2024
Cash flows provided by (used in) operating activities:
Net income (loss)	$ (47.4)	$ (37.6)
Reconciliation of net income (loss) to net cash provided by (used in) operating activities:
Depreciation and amortization	291.2	285.3
Amortization of unrecognized pension loss (gain)	(0.9)	(0.9)
Deferred debt issuance costs amortization and write-off	2.6	40.6
Equity-based compensation expense	30.5	36.1
Restructuring charge	4.9	6.7
Restructuring payments	(4.8)	(5.5)
Changes in deferred income taxes	(52.1)	(70.9)
Changes in operating assets and liabilities:
(Increase) decrease in accounts receivable	65.1	54.2
(Increase) decrease in prepaid taxes, other prepaids and other current assets	(33.4)	9.3
Increase (decrease) in deferred revenue	75.6	4.2
Increase (decrease) in accounts payable	(21.2)	(24.2)
Increase (decrease) in accrued payroll	(42.0)	(42.5)
Increase (decrease) in other accrued and current liabilities	(26.5)	(19.6)
(Increase) decrease in other long-term assets	4.0	(2.6)
Increase (decrease) in long-term liabilities	(41.1)	(37.8)
Net, other non-cash adjustments	8.7	0.8
Net cash provided by (used in) operating activities	213.2	195.6
Cash flows provided by (used in) investing activities:
Cash settlements of foreign currency contracts and net investment hedges	5.5	0.2
Capital expenditures	(2.9)	(2.1)
Additions to computer software and other intangibles	(83.2)	(109.4)
Other investing activities, net	0.1	(0.8)
Net cash provided by (used in) investing activities	(80.5)	(112.1)
Cash flows provided by (used in) financing activities:
Cash paid for repurchase of treasury shares	0.0	(9.3)
Payments of dividends	(21.6)	(43.9)
Payment of debt issuance costs	0.0	(26.6)
Other financing activities, net	(25.6)	(13.9)
Net cash provided by (used in) financing activities	(72.7)	(6.5)
Effect of exchange rate changes on cash and cash equivalents	12.8	(1.4)
Increase (decrease) in cash and cash equivalents	72.8	75.6
Cash and Cash Equivalents, Beginning of Period	205.9	188.1
Cash and Cash Equivalents, End of Period	278.7	263.7
Reconciliation of cash, cash equivalents and restricted cash
Cash and cash equivalents reported in the condensed consolidated balance sheets	278.7	263.2
Restricted cash included within other current assets	0.0	0.5
Total cash, cash equivalents and restricted cash reported in the statements of cash flows	278.7	263.7
Cash Paid for:
Income taxes payments (refunds), net	105.9	55.8
Interest	96.3	107.5
Noncash additions to computer software	31.1	12.8
Predecessor Revolving Credit Facility
Cash flows provided by (used in) financing activities:
Proceeds from borrowings on lines of credit	65.0	218.8
Payments of borrowings on lines of credit	(75.0)	(123.8)
New Term Loan Facility
Cash flows provided by (used in) financing activities:
Proceeds from borrowings on lines of credit	0.0	3,103.6
Payments of borrowings on lines of credit	$ (15.5)	$ (3,111.4)