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Share-Based Compensation - Additional Information (Details) $ in Thousands |  |  |  | 6 Months Ended | 9 Months Ended |  |
--- | --- | --- | --- | --- | --- | --- | ---
Aug. 16, 2023 | May 24, 2016 shares | May 22, 2007 shares | Jun. 30, 2023 | Sep. 30, 2023 USD ($) | Sep. 30, 2022 USD ($) | May 12, 2020 shares | May 15, 2018 shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Stock split, conversion ratio | 1.5 |  |  |  |  |  |  |
Stock authorized to be issued under plan (in shares) | shares |  | 13,400,000 |  |  |  |  |  |
Total intrinsic value of options exercised during period |  |  |  |  | $ 27,600 | $ 6,700 |  |
Cash received from options exercised during period |  |  |  |  | $ 25,251 | $ 10,990 |  |
Award requisite service period |  |  |  |  | 1 year |  |  |
2007 Long-Term Incentive Plan |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Stock authorized to be issued under plan (in shares) | shares |  | 600,000 | 5,000,000 |  |  |  |  |
Exercise price of shares granted may not be less than fair market value (percentage) |  |  | 100.00% |  |  |  |  |
2016 Long-Term Incentive Plan |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Stock authorized to be issued under plan (in shares) | shares |  | 5,100,000 |  |  |  |  | 3,800,000 | 3,900,000
Exercise price of shares granted may not be less than fair market value (percentage) |  | 100.00% |  |  |  |  |  |
Performance Award |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Unrecognized pre-tax compensation cost |  |  |  |  | $ 5,000 |  |  |
Weighted average recognition period (in years) |  |  |  |  | 1 year 8 months 12 days |  |  |
Performance Award | 2016 Long-Term Incentive Plan |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Award vesting period |  |  |  |  | 3 years |  |  |
Performance Award | Minimum |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Award, percent of conversion in common stock |  |  |  |  | 0.00% |  |  |
Performance Award | Maximum |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Award, percent of conversion in common stock |  |  |  |  | 200.00% |  |  |
Equity Option |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Unrecognized pre-tax compensation cost |  |  |  |  | $ 10,700 |  |  |
Weighted average recognition period (in years) |  |  |  |  | 1 year 3 months 18 days |  |  |
Restricted Stock | 2007 Long-Term Incentive Plan |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Unrecognized pre-tax compensation cost |  |  |  |  | $ 5,700 |  |  |
Weighted average recognition period (in years) |  |  |  |  | 1 year 6 months |  |  |
Key Employee Awards |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Unrecognized pre-tax compensation cost |  |  |  |  | $ 300 |  |  |
Weighted average recognition period (in years) |  |  |  |  | 3 months 18 days |  |  |
Employees |  |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |  |
Award vesting rights, percentage |  |  |  | 20.00% | 33.30% |  |  |

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