Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2021	Dec. 31, 2020	Dec. 31, 2019
Effective Income Tax Rate Reconciliation, Amount [Abstract]
Statutory U.S. federal income tax rate	$ 71.5	$ 25.7	$ 69.3
Foreign income taxed at rates other than U.S. statutory rate	(16.9)	(13.9)	(16.3)
Changes in valuation allowances	18.1	10.0	18.8
Foreign exchange gain (loss), net	2.2	8.2	(2.8)
Unrecognized tax benefits	(4.9)	54.9	11.2
Foreign taxes	8.7	7.0	21.4
Non-deductible expenses	5.7	4.6	4.1
Tax credits	(6.7)	(5.3)	(3.9)
Excess tax (benefits)/shortfalls relating to stock-based compensation	0.4	(0.3)	(11.4)
Base erosion and anti-tax abuse tax	0.0	0.0	4.3
U.S. state and local taxes, net	5.0	2.8	6.6
Intra-entity IP transfer step-up	0.0	(50.8)	0.0
Other - net	(7.0)	(42.7)	(23.9)
Total	$ 76.1	$ 0.2	$ 77.4
Effective Income Tax Rate Reconciliation, Percent [Abstract]
Statutory U.S. federal income tax rate	21.00%	21.00%	21.00%
Foreign income taxed at rates other than U.S. statutory rate	(5.00%)	(11.30%)	(4.90%)
Changes in valuation allowances	5.30%	8.20%	5.70%
Foreign exchange gain (loss), net	0.60%	6.70%	(0.80%)
Unrecognized tax benefits	(1.40%)	44.90%	3.40%
Foreign taxes	2.50%	5.70%	6.50%
Non-deductible expenses	1.70%	3.70%	1.30%
Tax credits	(2.00%)	(4.30%)	(1.20%)
Excess tax (benefits)/shortfalls relating to stock-based compensation	0.10%	(0.20%)	(3.50%)
Base erosion and anti-tax abuse tax	0.00%	0.00%	1.30%
U.S. state and local taxes, net	1.50%	2.30%	2.00%
Intra-entity IP transfer step-up	0.00%	(41.60%)	0.00%
Other - net	(1.90%)	(34.90%)	(7.30%)
Total income tax provision / effective tax rate	22.40%	0.20%	23.50%
Germany
Effective Income Tax Rate Reconciliation, Percent [Abstract]
Income tax audit, tax expense		$ 14.3
NETHERLANDS
Effective Income Tax Rate Reconciliation, Percent [Abstract]
Realized exchange gain, tax expense		27.3
Unrecognized tax benefits, adjustment to prior year tax filing position		27.3
Tax benefit	$ 2.9	41.8
Realized exchange gain, tax benefit		27.3
Deferred taxes rate change		14.5
Increase to unrecognized tax benefits, tax expense	$ 2.9	27.3
Increase in valuation allowance, tax expense		$ 14.5
LUXEMBOURG
Effective Income Tax Rate Reconciliation, Percent [Abstract]
Increase in valuation allowance, tax expense			$ 24.9
Local statutory impairment, tax benefit			$ 24.9