Condensed Consolidated Statements of Equity - USD ($) shares in Millions, $ in Millions	Total	Total Equity Attributable to the Company	Ordinary Shares	Additional Paid-in Capital	Accumulated Deficit	Unrealized Hedging (Losses) Gains	Foreign Currency Translation	Defined Benefit Plans	Total Accumulated Other Comprehensive Loss, net of tax	Non-Controlling Interests
Beginning balance (in shares) at Dec. 31, 2020			222.0
Beginning balance at Dec. 31, 2020	$ 1,095.6	$ 1,094.7	$ 22.2	$ 2,843.4	$ (1,528.2)	$ (158.3)	$ (69.4)	$ (15.0)	$ (242.7)	$ 0.9
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	(17.2)	(17.2)			(17.2)
Stock-based compensation	7.2	7.2		7.2
Vesting of shares related to equity compensation plans, net of amounts withheld for payment of taxes (in shares)			0.9
Vesting of shares related to equity compensation plans, net of amounts withheld for payment of taxes	(4.0)	(4.0)	$ 0.1	(4.1)
Foreign currency translation	(11.7)	(11.7)					(11.7)		(11.7)
Defined benefit plans actuarial loss	0.0
Unrealized gain on hedging instruments	28.5	28.5				28.5			28.5
Amounts reclassified from AOCI to the statement of operations	8.4	8.4				8.4			8.4
Ending balance (in shares) at Mar. 31, 2021			222.9
Ending balance at Mar. 31, 2021	1,106.8	1,105.9	$ 22.3	2,846.5	(1,545.4)	(121.4)	(81.1)	(15.0)	(217.5)	0.9
Beginning balance (in shares) at Dec. 31, 2021			223.7
Beginning balance at Dec. 31, 2021	1,448.6	1,447.8	$ 22.4	2,896.6	(1,278.2)	(83.6)	(104.5)	(4.9)	(193.0)	0.8
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	45.5	45.5			45.5
Stock-based compensation	8.7	8.7		8.7
Vesting of shares related to equity compensation plans, net of amounts withheld for payment of taxes (in shares)			1.8
Vesting of shares related to equity compensation plans, net of amounts withheld for payment of taxes	(25.1)	(25.1)	$ 0.2	(25.3)
Foreign currency translation	(7.1)	(7.1)					(7.1)		(7.1)
Defined benefit plans actuarial loss	(1.7)	(1.7)						(1.7)	(1.7)
Unrealized gain on hedging instruments	60.7	60.7				60.7			60.7
Amounts reclassified from AOCI to the statement of operations	9.5	9.5				9.5			9.5
Other activity	(0.6)	(0.6)				(0.6)			(0.6)
Ending balance (in shares) at Mar. 31, 2022			225.5
Ending balance at Mar. 31, 2022	$ 1,538.5	$ 1,537.7	$ 22.6	$ 2,880.0	$ (1,232.7)	$ (14.0)	$ (111.6)	$ (6.6)	$ (132.2)	$ 0.8