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Employee Benefit Plans - Deferred Compensation Plans (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]      
Defined Contribution Plan, Cost $ 43.8 $ 40.2 $ 35.4
Supplemental Executive Retirement Plan [Member]      
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]      
Deferred Compensation Liability, Current and Noncurrent 56.8 58.9  
Compensation expense (reduction in expense) 8.9 8.3 7.7
Deferred Compensation Plan For Select Group Of Employees [Member]      
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]      
Deferred Compensation Liability, Current and Noncurrent 184.5 148.2  
Compensation expense (reduction in expense) $ 36.5 $ 17.0 $ (24.0)