Condensed Consolidated Statements of Equity - USD ($) shares in Millions, $ in Millions	Total	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	Total Equity Attributable to the Company	Non-Controlling Interests	Cumulative Effect, Period of Adoption, Adjustment Additional Paid-in Capital	Cumulative Effect, Period of Adoption, Adjustment Accumulated Deficit	Cumulative Effect, Period of Adoption, Adjusted Balance	Cumulative Effect, Period of Adoption, Adjusted Balance Total Equity Attributable to the Company
Beginning balance (in shares) at Dec. 31, 2018		216.6
Beginning balance at Dec. 31, 2018	$ 1,360.1	$ 21.7	$ 2,791.2	$ (1,298.4)	$ 13.9	$ (163.4)	$ (4.9)	$ (154.4)
Beginning balance (Accounting Standards Update 2018-07) at Dec. 31, 2018											$ (1.2)	$ 1.2
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	(2.9)			(2.9)
Stock-based compensation	46.3		46.3
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	(25.2)	$ 0.2	(25.4)
Share repurchase	(0.4)		(0.4)
Foreign currency translation	(32.9)					(32.9)		(32.9)
Defined benefit plans actuarial gain (loss)	0.2						0.2	0.2
Unrealized (loss) gain on hedging instruments	(105.9)				(105.9)			(105.9)
Amounts reclassified from AOCI to the statement of operations	(5.1)				(5.1)			(5.1)
Ending balance (in shares) at Sep. 30, 2019		219.0
Ending balance at Sep. 30, 2019	1,234.2	$ 21.9	2,810.5	(1,300.1)	(97.1)	(196.3)	(4.7)	(298.1)
Beginning balance (in shares) at Jun. 30, 2019		217.0
Beginning balance at Jun. 30, 2019	1,288.0	$ 21.7	2,814.3	(1,311.8)	(69.4)	(161.9)	(4.9)	(236.2)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	11.7			11.7
Stock-based compensation	16.2		16.2
Vesting of shares related to equity compensation plans, net amounts withheld for payment of taxes (in shares)		2.0
Vesting of shares related to equity compensation plans, net amounts withheld for payment of taxes	(19.4)	$ 0.2	(19.6)
Share repurchase	(0.4)		(0.4)
Foreign currency translation	(34.4)					(34.4)		(34.4)
Defined benefit plans actuarial gain (loss)	0.2						0.2	0.2
Unrealized (loss) gain on hedging instruments	(26.6)				(26.6)			(26.6)
Amounts reclassified from AOCI to the statement of operations	(1.1)				(1.1)			(1.1)
Ending balance (in shares) at Sep. 30, 2019		219.0
Ending balance at Sep. 30, 2019	1,234.2	$ 21.9	2,810.5	(1,300.1)	(97.1)	(196.3)	(4.7)	(298.1)
Beginning balance (in shares) at Dec. 31, 2019		219.5
Beginning balance at Dec. 31, 2019	1,301.3
Beginning balance of total equity at Dec. 31, 2019	1,301.3	$ 22.0	2,819.1	(1,297.0)	(78.4)	(158.4)	(6.0)	(242.8)	$ 1,301.3	$ 0.0			$ (10.7)	$ (10.7)
Beginning balance of total equity (Accounting Standards Update 2016-13) at Dec. 31, 2019												$ (10.7)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	(193.2)			(193.2)					(193.2)
Acquisition of non-controlling interests	0.8									0.8
Stock-based compensation	34.3		34.3						34.3
Vesting of shares related to equity compensation plans, net amounts withheld for payment of taxes (in shares)		2.3
Vesting of shares related to equity compensation plans, net amounts withheld for payment of taxes	(18.1)	$ 0.2	(18.3)						(18.1)
Foreign currency translation	19.6					19.6		19.6	19.6
Defined benefit plans actuarial gain (loss)	1.9						1.9	1.9	1.9
Unrealized (loss) gain on hedging instruments	(78.0)				(78.0)			(78.0)	(78.0)
Amounts reclassified from AOCI to the statement of operations	(11.0)				(11.0)			(11.0)	(11.0)
Ending balance (in shares) at Sep. 30, 2020		221.8
Ending balance at Sep. 30, 2020	1,046.1
Ending balance of total equity at Sep. 30, 2020	1,046.9	$ 22.2	2,835.1	(1,500.9)	(167.4)	(138.8)	(4.1)	(310.3)	1,046.1	0.8
Beginning balance (in shares) at Jun. 30, 2020		220.8
Beginning balance of total equity at Jun. 30, 2020	1,029.8	$ 22.1	2,832.3	(1,463.6)	(177.4)	(180.0)	(4.0)	(361.4)	1,029.4	0.4
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	(37.3)			(37.3)					(37.3)
Acquisition of non-controlling interests	0.4									0.4
Stock-based compensation	9.8		9.8						9.8
Vesting of shares related to equity compensation plans, net amounts withheld for payment of taxes (in shares)		1.0
Vesting of shares related to equity compensation plans, net amounts withheld for payment of taxes	(6.9)	$ 0.1	(7.0)						(6.9)
Foreign currency translation	41.2					41.2		41.2	41.2
Defined benefit plans actuarial gain (loss)	(0.1)						(0.1)	(0.1)	(0.1)
Unrealized (loss) gain on hedging instruments	19.3				19.3			19.3	19.3
Amounts reclassified from AOCI to the statement of operations	(9.3)				(9.3)			(9.3)	(9.3)
Ending balance (in shares) at Sep. 30, 2020		221.8
Ending balance at Sep. 30, 2020	1,046.1
Ending balance of total equity at Sep. 30, 2020	$ 1,046.9	$ 22.2	$ 2,835.1	$ (1,500.9)	$ (167.4)	$ (138.8)	$ (4.1)	$ (310.3)	$ 1,046.1	$ 0.8