Consolidated Statements of Changes in Stockholders Equity € in Millions, $ in Millions	USD ($) $ / shares	EUR (€)	Ordinary Shares Issued USD ($)	Ordinary Shares Held In Treasury And Employee Benefit Trust USD ($)	Capital in Excess of Par Value of Ordinary Shares USD ($)	Retained Earnings USD ($)	Accumulated Other Comprehensive Income (Loss) USD ($)	Noncontrolling Interest USD ($)
Beginning balance at Dec. 31, 2017	$ 13,367.4		$ 465.1	$ (4.8)	$ 10,483.3	$ 3,406.0	$ (1,003.7)	$ 21.5
Net income (loss)	(1,910.8)							10.8
Net Income (Loss) Attributable to Parent	(1,921.6)					(1,921.6)
Other comprehensive loss	(360.6)						(356.0)	(4.6)
Issuance of ordinary shares	(442.8)		(14.8)		(333.5)	(94.5)
Cash dividends declared ($0.52 per share) (Note 17)	0.2		0.2
Net sales of ordinary shares for employee benefit trust	2.4			2.4
Dividends (Note 15)	(238.1)	€ (238.1)				(238.1)
Share-based compensation (Note 18)	49.1				49.1
Other	13.5				(1.9)	(11.9)		3.5
Ending balance at Dec. 31, 2018	$ 10,388.9		450.5	(2.4)	10,197.0	1,072.2	(1,359.7)	31.3
Common Stock, Dividends, Per Share, Declared | $ / shares	$ 0.52
Net income (loss)	$ (2,412.1)							3.1
Net Income (Loss) Attributable to Parent	(2,415.2)					(2,415.2)
Other comprehensive loss	(48.5)						(47.8)	(0.7)
Issuance of ordinary shares	(92.7)		(4.0)		(88.7)
Cash dividends declared ($0.52 per share) (Note 17)	0.6		0.6
Net sales of ordinary shares for employee benefit trust	2.4			2.4
Dividends (Note 15)	(232.8)	€ (232.8)				(232.8)
Share-based compensation (Note 18)	74.5				74.5
Other	6.0					(10.9)		(4.9)
Ending balance at Dec. 31, 2019	$ 7,688.1		447.1	0.0	10,182.8	(1,563.1)	(1,407.5)	28.8
Common Stock, Dividends, Per Share, Declared | $ / shares	$ 0.52
Stockholders' Equity Attributable to Parent	$ 7,659.3
Net income (loss)	(3,237.9)							49.7
Net Income (Loss) Attributable to Parent						(3,287.6)
Other comprehensive loss	(214.4)						(215.0)	0.6
Issuance of ordinary shares	0.0
Cash dividends declared ($0.52 per share) (Note 17)	(7.0)		2.4		(9.4)
Dividends (Note 15)	(59.2)					(59.2)
Share-based compensation (Note 18)	69.0				69.0
Noncontrolling Interest, Increase from Business Combination	11.5					9.4		2.1
Other	(5.0)					(11.9)		(16.9)
Ending balance at Dec. 31, 2020	$ 4,214.3		$ 449.5	$ 0.0	$ 10,242.4	$ (4,915.2)	$ (1,622.5)	$ 60.1
Common Stock, Dividends, Per Share, Declared | $ / shares	$ 0.13
Stockholders' Equity Attributable to Parent	$ 4,154.2