Income Taxes - Pre-tax Income and the Provision for Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2019	Dec. 31, 2018	Dec. 31, 2017
Pre-tax income:
Ireland	$ (300.3)	$ (109.0)	$ (454.0)
United States	(291.9)	(428.6)	(144.9)
Other foreign	763.2	828.2	879.0
Income before income taxes	171.0	290.6	280.1
Current provision (benefit) for income taxes:
Ireland	(2.2)	22.7	(8.1)
United States	51.0	66.4	100.4
Other foreign	16.1	75.1	46.1
Subtotal	64.9	164.2	138.4
Deferred provision (benefit) for income taxes:
Ireland	0.0	(13.9)	13.1
United States	(30.2)	7.3	7.8
Other foreign	(9.8)	2.0	1.2
Subtotal	(40.0)	(4.6)	22.1
Total provision for income taxes	$ 24.9	$ 159.6	$ 160.5