CONSOLIDATED STATEMENTS OF CASH FLOWS - USD ($) $ in Millions	3 Months Ended
	Mar. 31, 2023	Mar. 31, 2022
Cash Flows From Operating Activities
Net income (loss)	$ 43.5	$ 69.5
Adjustments to reconcile net income to net cash provided by operating activities:
Depreciation and amortization	172.6	176.4
Share-based compensation	40.7	24.6
Restructuring and impairment	0.5	(0.9)
Mark to market loss (gain) on financial instruments	1.1	(100.4)
Amortization of debt issuance costs	5.1	3.6
Gain on legal settlement	(49.4)	0.0
Other operating activities	8.1	(14.1)
Changes in operating assets and liabilities:
Accounts receivable	42.3	40.2
Prepaid expenses	(21.7)	(20.8)
Other assets	13.7	(18.5)
Accounts payable	(0.1)	(10.3)
Accrued expenses and other current liabilities	(33.0)	(143.9)
Deferred revenues	85.5	63.3
Operating leases, net	(2.0)	(0.5)
Other liabilities	(79.4)	(0.8)
Net cash provided by operating activities	227.5	67.4
Cash Flows From Investing Activities
Capital expenditures	(59.3)	(41.4)
Payments for acquisitions and cost method investments, net of cash acquired	(1.1)	(1.3)
Net cash used in investing activities	(60.4)	(42.7)
Cash Flows From Financing Activities
Principal payments on term loan	(125.0)	(7.2)
Payment of debt issuance costs and discounts	0.0	(2.1)
Repurchases of ordinary shares	0.0	(55.1)
Cash dividends on preferred shares	(18.9)	(18.9)
Proceeds from stock options exercised	0.0	0.4
Payments related to finance lease	(0.2)	(0.5)
Payments related to tax withholding for stock-based compensation	(7.5)	(5.4)
Net cash used in financing activities	(151.6)	(88.8)
Effects of exchange rates	2.0	(7.8)
Net increase in cash and cash equivalents	15.4	69.3
Net increase (decrease) in restricted cash	2.1	(141.2)
Net increase (decrease) in cash and cash equivalents, and restricted cash	17.5	(71.9)
Cash and cash equivalents, beginning of period	348.8	430.9
Restricted cash, beginning of period	8.0	156.7
Total cash and cash equivalents, and restricted cash, beginning of period	356.8	587.6
Cash and cash equivalents, end of period	364.2	500.2
Restricted cash, end of period	10.1	15.5
Total cash and cash equivalents, and restricted cash, end of period	374.3	515.7
Supplemental Cash Flow Information:
Cash paid for interest	40.7	27.8
Cash paid for income tax	3.0	3.6
Capital expenditures included in accounts payable	6.0	7.7
Non-Cash Financing Activities:
Retirement of treasury shares	0.0	(33.3)
Treasury share purchases settled after period end	0.0	11.3
Total Non-Cash Financing Activities	6.4	(15.6)
Series A Preferred Stock
Non-Cash Financing Activities:
Dividends accrued on our 5.25% Series A Mandatory Convertible Preferred Shares	$ 6.4	$ 6.4