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Income Taxes , Effective Tax Rate Reconciliation (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Income Tax Disclosure [Abstract]      
Tax at federal statutory tax rate $ 132.0 $ 113.8 $ 81.2
Foreign income taxed at different rates 2.9 16.4 12.3
Foreign withholding taxes 37.4 18.8 16.0
Stock-based compensation expense (74.8) (39.6) (30.6)
Foreign tax credit (53.2) (30.1) (30.4)
State taxes—net of federal benefit (4.6) 4.9 (11.3)
Research and development credit (11.1) (7.5) (6.8)
Valuation allowance 20.0 11.9 22.0
One-time transition tax 5.8 2.6 (2.1)
Foreign-Derived Intangible Income (33.6) (44.3) 0.0
Other (6.7) 6.3 4.0
Provision for income taxes $ 14.1 $ 53.2 $ 54.3