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Retirement and Deferred Compensation Plan - 401(k) Retirement Plan (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Defined Contribution Plan Disclosure [Line Items]      
Employer matching contribution percentage 50.00%    
Percentage of maximum contributions per employee 6.00%    
Contribution vesting period 5 years    
Employer contribution amount $ 3.5 $ 3.2 $ 3.4
Total matching contributions forfeited by plan participants during period $ 0.3 $ 0.8 $ 1.0
Minimum      
Defined Contribution Plan Disclosure [Line Items]      
Percentage of employee deferral or contribution 1.00%    
Maximum      
Defined Contribution Plan Disclosure [Line Items]      
Percentage of employee deferral or contribution 80.00%