Consolidated Statements of Changes in 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, 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)	196.4	196.4			196.4
Stock-based compensation	39.8	39.8		39.8
Vesting of shares related to equity compensation plans, net amounts withheld for payment of taxes (in shares)			2.1
Vesting of shares related to equity compensation plans, net amounts withheld for payment of taxes	(24.7)	(24.7)	$ 0.2	(24.9)
Unrealized gain on hedging instruments, net of tax	116.0	116.0				116.0			116.0
Amounts reclassified from AOCI to the statement of operations, net of tax	16.9	16.9				16.9			16.9
Foreign currency translation	(96.1)	(96.1)					(96.1)		(96.1)
Defined benefit plan actuarial gain (loss)	(34.2)	(34.2)						(34.2)	(34.2)
Other activity	(0.6)	(0.6)				(0.6)			(0.6)	0.0
Ending balance (in shares) at Dec. 31, 2022			225.8
Ending balance at Dec. 31, 2022	1,662.1	1,661.3	$ 22.6	2,911.5	(1,081.8)	48.7	(200.6)	(39.1)	(191.0)	0.8
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	(35.4)	(35.4)			(35.4)
Stock-based compensation	53.6	53.6		53.6
Vesting of shares related to equity compensation plans, net amounts withheld for payment of taxes (in shares)			1.5
Vesting of shares related to equity compensation plans, net amounts withheld for payment of taxes	(7.7)	(7.7)	$ 0.1	(7.8)
Unrealized gain on hedging instruments, net of tax	24.3	24.3				24.3			24.3
Amounts reclassified from AOCI to the statement of operations, net of tax	(36.0)	(36.0)				(36.0)			(36.0)
Foreign currency translation	19.0	19.0					19.0		19.0
Defined benefit plan actuarial gain (loss)	(1.7)	(1.7)						(1.7)	(1.7)
Distribution from non-controlling interests	(0.2)									(0.2)
Ending balance (in shares) at Dec. 31, 2023			227.3
Ending balance at Dec. 31, 2023	1,678.0	1,677.4	$ 22.7	2,957.3	(1,117.2)	37.0	(181.6)	(40.8)	(185.4)	0.6
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	131.3	131.3			131.3
Stock-based compensation	35.4	35.4		35.4
Vesting of shares related to equity compensation plans, net amounts withheld for payment of taxes (in shares)			2.4
Vesting of shares related to equity compensation plans, net amounts withheld for payment of taxes	(6.0)	(6.0)	$ 0.3	(6.3)
Unrealized gain on hedging instruments, net of tax	25.7	25.7				25.7			25.7
Amounts reclassified from AOCI to the statement of operations, net of tax	(37.5)	(37.5)				(37.5)			(37.5)
Foreign currency translation	(73.5)	(73.5)					(73.5)		(73.5)
Defined benefit plan actuarial gain (loss)	2.1	2.1						2.1	2.1
Other activity	(0.1)									(0.1)
Ending balance (in shares) at Dec. 31, 2024			229.7
Ending balance at Dec. 31, 2024	$ 1,755.4	$ 1,754.9	$ 23.0	$ 2,986.4	$ (985.9)	$ 25.2	$ (255.1)	$ (38.7)	$ (268.6)	$ 0.5