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Employee Benefit Plans - Deferred Compensation Plans (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]      
Defined Contribution Plan, Cost $ 35.4 $ 30.3 $ 23.4
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 52.1 50.4  
Compensation expense (reduction in expense) (7.7) (7.0) (6.5)
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 119.5 124.5  
Compensation expense (reduction in expense) $ (24.0) $ (21.7) $ (5.3)