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Employee Benefit Plans (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Compensation Related Costs [Abstract]      
Maximum employer match as percent of employee contribution 50.00%    
Maximum match from employer as a percent of participants' salary 6.00%    
Contributions, net of forfeitures $ 4.3 $ 2.1 $ 1.5
Deferred compensation plan assets 9.1 11.4  
Benefit plan balance $ 8.1 $ 7.0