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Employee Benefit Plans - Deferred Compensation Plans (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]      
Defined Contribution Plan, Cost $ 40.2 $ 35.4 $ 30.3
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 58.9 52.1  
Compensation expense (reduction in expense) 8.3 7.7 7.0
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 148.2 119.5  
Compensation expense (reduction in expense) $ 17.0 $ (24.0) $ 21.7