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Share-Based Payments - Exercisable Options (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Information concerning outstanding and exercisable options      
Allocated Share-based Compensation Expense $ 44.7 $ 54.2 $ 63.8
Unrecognized compensation expense $ 45.6 $ 50.0  
Vesting period 3 years    
Employee Stock Option      
Information concerning outstanding and exercisable options      
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 (in dollars per share) $ 52.76 $ 42.99 $ 27.53
Vesting period 3 years    
Restricted Stock Units      
Information concerning outstanding and exercisable options      
Weighted average grant-date fair value of stock options granted (in dollars per share) $ 49.21 $ 41.90 $ 27.73