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Stock-Based Compensation - Summary of Stock-Based Compensation Expense (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense $ 8,560 $ 3,848 $ 4,412
Income tax benefit 2,140 962 1,103
Educational services and facilities      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense 481 192 240
Selling, general and administrative      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense $ 8,079 $ 3,656 $ 4,172