STATEMENT OF CASH FLOWS (UNAUDITED) - USD ($) $ in Millions	9 Months Ended
	Sep. 30, 2025	Sep. 30, 2024
Cash Provided by (Used in) Operating Activity, Including Discontinued Operation [Abstract]
Net income (loss)	$ 47.0	$ (20.9)
Adjustments to reconcile net income (loss) to cash flow provided (used) by operating activities:
Depreciation and amortization	96.8	94.1
Amortization of deferred financing costs into interest expense	4.7	1.3
Share-based compensation	9.3	7.4
Deferred income taxes	(31.5)	2.0
Loss on foreign currency translation	42.3	0.2
Other	0.4	1.6
Changes in certain assets and liabilities:
Trade receivables	54.0	55.5
Inventories	(13.2)	(56.7)
Accounts payable	(37.0)	(51.1)
Deferred revenue	(45.7)	(51.2)
Sales tax and net value added tax	(11.6)	(37.4)
Accrued salaries, wages and commissions	(17.3)	12.1
Certain other assets and liabilities	(15.0)	(3.9)
Net cash provided (used) by operating activities	83.2	(47.0)
Cash Provided by (Used in) Investing Activity, Including Discontinued Operation [Abstract]
Capital expenditures	(22.6)	(12.2)
Capitalized software development	(17.3)	(18.2)
Proceeds from maturities of investments	223.1	214.1
Payments for purchases of investments	(223.1)	(213.2)
Payments for acquisitions and other strategic business investments	(18.4)	0.0
Other investments	(0.7)	1.3
Net cash used by investing activities	(59.0)	(28.2)
Cash Provided by (Used in) Financing Activity, Including Discontinued Operation [Abstract]
Distributions to noncontrolling interest holders	(4.9)	(3.2)
Treasury share activity	(79.6)	0.0
Other	(3.7)	(10.0)
Net cash used by financing activities	(88.2)	(174.5)
Effect of exchange rate changes on cash, cash equivalents and restricted cash	15.3	(8.2)
Change in cash, cash equivalents and restricted cash	(48.7)	(257.9)
Cash, cash equivalents and restricted cash at the beginning of the period	311.3	592.3
Cash, cash equivalents and restricted cash at the end of the period	262.6	334.4
Supplemental Cash Flow Information [Abstract]
Cash paid for: Income taxes	35.9	40.1
Cash paid for: Interest	58.8	112.8
Revolving credit facility
Cash Provided by (Used in) Financing Activity, Including Discontinued Operation [Abstract]
Proceeds (repayments) of credit facilities	0.0	38.7
Exit facility
Cash Provided by (Used in) Financing Activity, Including Discontinued Operation [Abstract]
Proceeds (repayments) of credit facilities	$ 0.0	$ (200.0)