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Employee Benefit Plan - Additional Information (Details) - Savings Plan - 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, percentage of employee's contributions matched by employer 50.00%    
Defined contribution plan, percentage of employer contribution on employee's earnings 3.00%    
Matching contributions by employer $ 8.6 $ 7.8 $ 7.8