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Share-Based Compensation (Compensation Cost Recognized in Income Statement) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Share-based Payment Arrangement [Abstract]      
Before-tax share-based compensation cost $ 55.8 $ 41.2 $ 38.8
Income tax benefit (13.0) (9.7) (9.1)
After-tax share-based compensation cost $ 42.8 $ 31.5 $ 29.7