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Share-Based Compensation (Compensation Cost Recognized in Income Statement) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2015
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Before-Tax Share-Based Compensation $ 40.7 $ 37.6 $ 45.7
Discontinued Operations      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Before-Tax Share-Based Compensation 0.8 6.6 6.2
Continuing Operations      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Before-Tax Share-Based Compensation 39.9 31.0 39.5
Income Tax Benefit (14.0) (10.8) (13.8)
After-Tax Share-Based Compensation $ 25.9 $ 20.2 $ 25.7