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Equity and Stock-Based Compensation - Additional Information (Details) - USD ($) $ / shares in Units, $ in Thousands |  |  | 3 Months Ended | 6 Months Ended
--- | --- | --- | --- | ---
Feb. 10, 2023 | Feb. 16, 2022 | Mar. 31, 2023 | Mar. 31, 2022 | Dec. 31, 2021 | Mar. 31, 2023 | Mar. 31, 2022
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Stock-based compensation expense |  |  | $ 200 | $ 100 |  | $ 338 | $ 240
Total cost of shares repurchased and retired |  |  |  | $ 1,402 | $ 2,713 |  |
2023 Stock Repurchase Plan |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Authorized stock repurchase amount | $ 5,000 |  |  |  |  |  |
Stock repurchase program period | 1 year |  |  |  |  |  |
Shares repurchased and retired during the period |  |  | 0 |  |  |  |
2022 Stock Repurchase Plan |  |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |  |
Authorized stock repurchase amount |  | $ 5,000 |  |  |  |  |
Stock repurchase program period |  | 1 year |  |  |  |  |
Shares repurchased and retired during the period |  |  |  | 143,430 |  |  |
Total cost of shares repurchased and retired |  |  |  | $ 1,400 |  |  |
Average price per share of shares repurchased |  |  |  | $ 9.78 |  |  |

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