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Share-Based Payments - PEP, RSU (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Information concerning outstanding and exercisable options      
Compensation expense related to share-based payments $ 61.5 $ 45.9 $ 38.5
Unrecognized compensation expense $ 68.7 $ 48.3  
Recognition period of unrecognized compensation expense 3 years 3 years  
Performance Earnings Program | PEP Units      
Information concerning outstanding and exercisable options      
Vesting period 3 years