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Stock-Based Compensation, Option Plans (Details) - Stock Options - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended
--- | --- | ---
Sep. 30, 2019 | Sep. 30, 2018 | Sep. 30, 2019 | Sep. 30, 2018
Stock-Based Compensation |  |  |  |
Total intrinsic value of stock options exercised (in dollars) | $ 27.0 | $ 111.8 | $ 207.4 | $ 181.1
Total fair value of stock options vested (in dollars) | 0.9 | $ 0.9 | 57.1 | $ 50.9
Total compensation cost related to non-vested options not yet recognized (in dollars) | $ 167.0 |  | $ 167.0 |
Weighted average expected amortization period |  |  | 3 years 6 months 14 days |

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