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Stock-Based Compensation - Schedule of Compensation Cost for Share-based Payment (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense $ 8,478 $ 12,167 $ 10,036
Stock options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense 1 25 133
Restricted Stock      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense $ 8,477 $ 12,142 $ 9,903