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Stock-based Compensation - Narrative (Details) $ / shares in Units, $ in Thousands |  | 12 Months Ended |
--- | --- | --- | ---
Feb. 09, 2022 member shares | Sep. 30, 2024 USD ($) $ / shares shares | Sep. 30, 2023 USD ($) shares | Sep. 30, 2022 USD ($) shares | Feb. 07, 2022 shares
Share-Based Payment Arrangement [Abstract] |  |  |  |  |
Number of shares authorized for issuance (in shares) | shares |  |  |  |  | 300,000
Additional shares authorized for issuance (in shares) | shares | 50,000 |  |  |  |
Number of members of management receiving approved grant of stock | member | 6 |  |  |  |
Stock-based compensation | $ |  | $ 1,882 | $ 2,588 | $ 2,353 |
Stock-based compensation tax benefit | $ |  | 444 | $ 616 | $ 569 |
Unrecognized stock based compensation expense, stock options | $ |  | $ 2,600 |  |  |
Compensation cost not yet recognized, period for recognition |  | 1 year 4 months 24 days |  |  |
Vesting period | 4 years |  |  |  |
Vesting percentage | 20.00% |  |  |  |
Expiration period | 5 years |  |  |  |
Weighted average grant date fair value (in usd per share) | $ / shares |  | $ 31.37 |  |  |
Exercises in period | shares |  | 0 | 0 | 0 |

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