Income Taxes - Narrative (Details) $ in Millions, € in Billions	12 Months Ended
	Dec. 31, 2024 USD ($)	Dec. 31, 2023 USD ($)	Dec. 31, 2022 USD ($)	Dec. 31, 2021 EUR (€)
Income Taxes [Line Items]
Valuation allowance against deferred tax asset	$ 760.5	$ 582.7
Increase (decrease) in the valuation allowance	177.8	298.4
Net operating loss carryforwards and tax credit	940.3	814.4
Net operating loss carryforwards in the U.S.	7.4
Net operating loss carryforwards in various foreign jurisdictions	1,976.3
Gross unrecognized tax benefits	1,195.7	1,304.7	$ 1,230.6
Unrecognized tax benefits that would impact effective tax rate	83.0
Interest and penalties	31.3	26.9
Accrued/(reversed) interest and penalties	5.1	6.5	$ 0.4
Expected decrease in unrecognized tax benefits within next twelve months	$ 29.9
United States
Income Taxes [Line Items]
Effective income tax rate (as a percent)	45.00%
SWITZERLAND
Income Taxes [Line Items]
Increase (decrease) in the valuation allowance		$ 300.0
Luxembourg
Income Taxes [Line Items]
Net operating loss carryforwards in various foreign jurisdictions	$ 1,092.9
Domestic tax authority
Income Taxes [Line Items]
Effective income tax rate (as a percent)	20.10%	(5.30%)	(36.50%)
Foreign tax authority
Income Taxes [Line Items]
Effective income tax rate (as a percent)	19.70%	71.20%	17.50%
Foreign tax authority | Luxembourg | Tax Year 2021
Income Taxes [Line Items]
Foreign tax assessment | €				€ 1.0
State
Income Taxes [Line Items]
Net operating loss carryforwards and tax credit	$ 49.5
State deferred tax assets
Income Taxes [Line Items]
Valuation allowance against deferred tax asset	30.8
Operating Loss Carryforward, Domestic
Income Taxes [Line Items]
Valuation allowance against deferred tax asset	6.3
Operating Loss Carryforward, Foreign Jurisdiction
Income Taxes [Line Items]
Valuation allowance against deferred tax asset	$ 723.4