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Share-Based Payments - Exercisable Options (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Information concerning outstanding and exercisable options      
Aggregate intrinsic value of stock options exercised     $ 0.9
Allocated Share-based Compensation Expense $ 54.2 $ 63.8 $ 73.1
Unrecognized compensation expense $ 69.1 $ 74.6  
Vesting period 3 years    
Employee Stock Option      
Information concerning outstanding and exercisable options      
Weighted average grant-date fair value of stock options granted $ 11.30    
Weighted average grant-date fair value of stock options granted (in dollars per share) 11.30    
Performance Earnings Program      
Information concerning outstanding and exercisable options      
Weighted average grant-date fair value of stock options granted 42.99 $ 27.53 $ 37.69
Weighted average grant-date fair value of stock options granted (in dollars per share) $ 42.99 27.53 37.69
Vesting period 3 years    
Restricted Stock Units      
Information concerning outstanding and exercisable options      
Weighted average grant-date fair value of stock options granted $ 41.90 27.73 36.83
Weighted average grant-date fair value of stock options granted (in dollars per share) $ 41.90 $ 27.73 $ 36.83