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Stock-Based Compensation, Option Plans (Details) - Stock Options - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended
--- | --- | ---
Jun. 30, 2019 | Jun. 30, 2018 | Jun. 30, 2019 | Jun. 30, 2018
Stock-Based Compensation |  |  |  |
Total intrinsic value of stock options exercised (in dollars) | $ 110.4 | $ 35.1 | $ 180.5 | $ 69.4
Total fair value of stock options vested (in dollars) | 55.7 | $ 49.5 | 56.2 | $ 50.0
Total compensation cost related to non-vested options not yet recognized (in dollars) | $ 181.5 |  | $ 181.5 |
Weighted average expected amortization period |  |  | 3 years 8 months 26 days |

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