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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