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Share-Based Payments - Exercisable Options (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Information concerning outstanding and exercisable options      
Aggregate intrinsic value of stock options exercised   $ 0.9 $ 1.2
Allocated Share-based Compensation Expense $ 63.8 73.1 $ 83.8
Unrecognized compensation expense $ 74.6 $ 94.3  
Vesting period 3 years    
Employee Stock Option      
Information concerning outstanding and exercisable options      
Number of stock options granted during the period 0 0  
Performance Earnings Program      
Information concerning outstanding and exercisable options      
Weighted average grant-date fair value of stock options granted (in dollars per share) $ 27.53 $ 37.69 $ 38.15
Restricted Stock Units (RSUs)      
Information concerning outstanding and exercisable options      
Weighted average grant-date fair value of stock options granted (in dollars per share) $ 27.73 $ 36.83 $ 37.96