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Share-Based Payments - PEP, RSU and Expense (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Information concerning outstanding and exercisable options      
Compensation expense related to share-based payments $ 38.5 $ 44.7 $ 54.2
Unrecognized compensation expense $ 45.9 $ 45.6  
Recognition period of unrecognized compensation expense 3 years 3 years  
Restricted Stock Units (RSUs)      
Information concerning outstanding and exercisable options      
Weighted average grant-date fair value of awards granted (in dollars per share) $ 74.30 $ 49.21 $ 41.90
Performance Earnings Program | Stock Units      
Information concerning outstanding and exercisable options      
Vesting period 3 years    
Weighted average grant-date fair value of awards granted (in dollars per share) $ 85.46 $ 52.76 $ 42.99