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Income Taxes (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended |  |
--- | --- | --- | --- | ---
Sep. 30, 2021 | Sep. 30, 2020 | Sep. 30, 2021 | Sep. 30, 2020 | Dec. 31, 2020 | Jun. 10, 2014
Valuation Allowance [Line Items] |  |  |  |  |  |
Effective income tax rate | 16.60% | 28.30% | 12.30% | 32.20% |  |
Income before income taxes, domestic operations |  |  | $ 29.2 | $ 32.2 |  |
Income before income taxes, foreign operations |  |  | 107.1 | 120.2 |  |
Liabilities for uncertain income tax positions | $ 54.2 |  | 54.2 |  | $ 57.1 |
Cash paid for income taxes |  |  | 51.8 | $ 33.5 |  |
Prepaid tax payments | 12.6 |  | 12.6 |  | $ 3.0 |
Decrease in deferred tax liability | 44.2 |  | 44.2 |  |  |
Increase in additional paid-in capital | $ 44.2 |  | $ 44.2 |  |  |
3.25% Convertible Notes | Convertible Debt |  |  |  |  |  |
Valuation Allowance [Line Items] |  |  |  |  |  |
Stated interest rate |  |  |  |  |  | 3.25%

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