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Stock-Based Compensation - Summary of Stock-Based Compensation Expense (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense $ 2,077 $ 1,440 $ 1,864
Income tax benefit 519 360 466
Educational services and facilities      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense 64 0 0
Selling, general and administrative      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense $ 2,013 $ 1,440 $ 1,864