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Share-Based Compensation (Compensation Cost Recognized in Income Statement) (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Employee Service Share-based Compensation, Aggregate Disclosures [Abstract]    
Before-tax share-based compensation cost $ 9.3 $ 11.8
Income tax benefit (2.2) (3.2)
After-tax share-based compensation cost $ 7.1 $ 8.6