Income Taxes - Narrative (Details) $ in Millions, € in Billions	12 Months Ended
	Dec. 31, 2025 USD ($)	Dec. 31, 2024 USD ($)	Dec. 31, 2023 USD ($)	Dec. 31, 2021 EUR (€)	Dec. 31, 2020 EUR (€)	Dec. 31, 2019 EUR (€)	Dec. 31, 2018 EUR (€)	Dec. 31, 2017 EUR (€)
Income Taxes [Line Items]
Effective income tax rate reconciliation, percent	21.10%
Valuation allowance against deferred tax asset	$ 939.6	$ 760.5
Increase (decrease) in the valuation allowance	179.1	177.8
Net operating loss carryforwards and tax credit	1,154.4	940.3
Net operating loss carryforwards in the U.S.	11.5
Net operating loss carryforwards in various foreign jurisdictions	2,330.9
Gross unrecognized tax benefits	1,343.9	1,195.7	$ 1,304.7
Unrecognized tax benefits that would impact effective tax rate	88.8
Interest and penalties	43.3	31.3
Accrued/(reversed) interest and penalties	$ 9.3	$ 5.1	$ 6.5
United States
Income Taxes [Line Items]
Effective income tax rate reconciliation, percent	21.00%
Luxembourg
Income Taxes [Line Items]
Net operating loss carryforwards in various foreign jurisdictions	$ 1,233.7
State deferred tax assets
Income Taxes [Line Items]
Valuation allowance against deferred tax asset	24.4
Operating Loss Carryforward, Domestic
Income Taxes [Line Items]
Valuation allowance against deferred tax asset	9.7
Operating Loss Carryforward, Foreign Jurisdiction
Income Taxes [Line Items]
Valuation allowance against deferred tax asset	$ 905.5
Domestic tax authority
Income Taxes [Line Items]
Effective income tax rate reconciliation, percent	35.30%	20.30%	(5.20%)
Foreign tax authority
Income Taxes [Line Items]
Effective income tax rate reconciliation, percent	17.30%	19.60%	71.30%
Foreign tax authority | Luxembourg | Tax Year 2021
Income Taxes [Line Items]
Foreign tax assessment | €				€ 1.2	€ 1.2	€ 1.2	€ 1.2	€ 1.2
State
Income Taxes [Line Items]
Net operating loss carryforwards and tax credit	$ 45.8