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Stock Compensation (Details) - USD ($) $ / shares in Units, $ in Millions | 12 Months Ended
--- | ---
Dec. 31, 2020 | Dec. 31, 2019 | Dec. 31, 2018
Stock compensation |  |  |
Stock compensation expense | $ 177.9 | $ 166.6 | $ 148.2
Stock Compensation Expense Capitalized | $ 0.6 | 0.4 | 0.1
Weighted-average fair value assumptions |  |  |
Valuation method | Black-Scholes valuation model |  |
Dividend yield (as a percent) | 0.00% |  |
Research and Development Expense |  |  |
Stock compensation |  |  |
Stock compensation expense | $ 120.4 | 114.0 | 101.1
Selling, General and Administrative Expenses |  |  |
Stock compensation |  |  |
Stock compensation expense | 56.6 | 51.9 | 47.1
Cost of product revenues |  |  |
Stock compensation |  |  |
Stock compensation expense | 1.0 | 0.7 |
Employee Stock |  |  |
Stock compensation |  |  |
Stock compensation expense | $ 4.6 | $ 3.4 | $ 3.7
Weighted-average fair value assumptions |  |  |
Average risk-free interest rates (as a percent) | 0.17% | 1.82% | 2.62%
Average expected life (in years) | 6 months | 6 months | 6 months
Volatility (as a percent) | 45.00% | 31.00% | 46.00%
Weighted-average fair value (in dollars per share) | $ 19.13 | $ 14.04 | $ 15.80
Stock Options |  |  |
Stock compensation |  |  |
Assumed annualized forfeiture rate (as a percent) | 5.00% |  |
Weighted-average fair value assumptions |  |  |
Average risk-free interest rates (as a percent) | 0.80% | 2.27% | 2.61%
Average expected life (in years) | 4 years 11 months 23 days | 5 years 3 months 7 days | 5 years 3 months 3 days
Volatility (as a percent) | 40.00% | 45.00% | 45.00%
Weighted-average fair value (in dollars per share) | $ 32.65 | $ 32.38 | $ 34.20
Unrecognized compensation |  |  |
Unrecognized compensation cost for nonvested option (in dollars) | $ 75.0 |  |
Vesting period of recognition of the unrecognized compensation cost of nonvested awards | 1 year 2 months 12 days |  |
Restricted Stock Units (RSUs) |  |  |
Stock compensation |  |  |
Assumed annualized forfeiture rate (as a percent) | 5.00% |  |
Unrecognized compensation |  |  |
Unrecognized compensation cost for nonvested option (in dollars) | $ 119.0 |  |
Vesting period of recognition of the unrecognized compensation cost of nonvested awards | 1 year 8 months 12 days |  |
Performance Stock Units (PSUs) |  |  |
Stock compensation |  |  |
Assumed annualized forfeiture rate (as a percent) | 5.00% |  |
Unrecognized compensation |  |  |
Unrecognized compensation cost for nonvested option (in dollars) | $ 25.7 |  |
Vesting period of recognition of the unrecognized compensation cost of nonvested awards | 1 year 3 months 18 days |  |

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