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Share-Based Compensation (Compensation Cost Recognized in Income Statement) (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2019
Jun. 30, 2018
Share-based Payment Arrangement, Additional Disclosure [Abstract]        
Before-tax share-based compensation cost $ 9.8 $ 7.9 $ 31.0 $ 30.4
Income tax benefit (2.3) (1.9) (7.3) (7.2)
After-tax share-based compensation cost $ 7.5 $ 6.0 $ 23.7 $ 23.2