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Share-Based Compensation (Compensation Cost Recognized in Income Statement) (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Share-based Payment Arrangement, Additional Disclosure [Abstract]    
Before-tax share-based compensation cost $ 15.4 $ 9.3
Income tax benefit (3.7) (2.2)
After-tax share-based compensation cost $ 11.7 $ 7.1