Income Taxes (Benefit (Expense) of Income Tax) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Income Taxes [Line Items]
Current	$ (146.4)	$ (155.1)	$ 13.0
Deferred	(172.5)	(318.2)	262.9
Income tax benefit (expense)	(318.9)	(473.3)	275.9
U.S.
Income Taxes [Line Items]
Current	(51.8)	(47.9)	81.5
Deferred	(133.0)	(25.8)	159.7
Total	(184.8)	(73.7)	241.2
Luxembourg
Income Taxes [Line Items]
Current	(0.3)	(0.4)	(0.3)
Deferred	(152.3)	(49.5)	(27.1)
Total	(152.6)	(49.9)	(27.4)
Switzerland
Income Taxes [Line Items]
Current	0.6	(7.2)	(3.5)
Deferred	87.2	63.5	41.2
Total	87.8	56.3	37.7
Belgium
Income Taxes [Line Items]
Current	(87.7)	(96.3)	(54.5)
Deferred	17.1	16.2	36.3
Total	(70.6)	(80.1)	(18.2)
Ireland
Income Taxes [Line Items]
Current	(5.3)	(0.7)
Deferred	10.5	0.0
Total	5.2	(0.7)
The Netherlands
Income Taxes [Line Items]
Current	(1.7)	(2.6)	(7.7)
Deferred	(0.8)	(1.3)	0.0
Total	(2.5)	(3.9)	(7.7)
U.K.
Income Taxes [Line Items]
Current	(0.1)	(0.4)	(1.3)
Deferred	0.8	(319.5)	52.2
Total	0.7	(319.9)	50.9
Other
Income Taxes [Line Items]
Current	(0.1)	0.4	(1.2)
Deferred	(2.0)	(1.8)	0.6
Total	$ (2.1)	$ (1.4)	$ (0.6)