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Stock-Based Compensation - Narrative (Details) - USD ($) $ / shares in Units, $ in Millions |  | 1 Months Ended | 12 Months Ended
--- | --- | --- | ---
Feb. 15, 2023 | Feb. 28, 2023 | Feb. 28, 2022 | Feb. 28, 2014 | Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021
2014 Equity Incentive Plan |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Authorized plan extension period | 5 years |  |  |  |  |  |
Number of additional shares authorized (in shares) | 600,000 |  |  |  |  |  |
Number of shares authorized (in shares) | 1,350,000 |  |  |  |  |  |
2014 Director Plan |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Authorized plan extension period |  |  | 10 years |  |  |  |
Number of additional shares authorized (in shares) |  |  | 200,000 |  |  |  |
Number of shares authorized (in shares) |  |  | 350,000 |  |  |  |
Common stock, capital shares reserved for future issuance (in shares) |  |  |  |  | 190,600 |  |
Restricted Stock |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Compensation expense |  |  |  |  | $ 0.6 | $ 0.4 | $ 0.5
Weighted average remaining contractual life |  |  |  |  | 6 months |  |
Restricted Stock | 2014 Director Plan |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Unvested restricted stock outstanding (in shares) |  |  |  |  | 8,400 | 7,200 |
Maximum number of shares granted to any individual (in shares) |  |  |  | 12,000 |  |  |
Number of shares issued to any individual (in shares) |  |  |  | 4,000 |  |  |
Restricted stock issuable to eligible Board of Directors members annually (in shares) |  |  |  | 2,400 |  |  |
Shares issued under the plan (in shares) |  | 16,800 | 16,800 |  |  |  |
Shares issued, price per share (in dollars per share) |  | $ 43.22 | $ 23.09 |  |  |  |
Restricted Stock | 2014 Director Plan | Vesting of First Anniversary |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Vesting percentage |  |  |  | 50.00% |  |  |
Restricted Stock | 2014 Director Plan | Vesting of Second Anniversary |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Vesting percentage |  |  |  | 50.00% |  |  |
Restricted Stock Units (RSUs) |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Unvested restricted stock outstanding (in shares) |  |  |  |  | 292,497 | 239,862 |
Compensation expense |  |  |  |  | $ 4.0 | $ 3.7 | $ 2.0
Amounts not yet recognized related to non-vested stock totaled |  |  |  |  | $ 1.4 | $ 1.2 |
Weighted average remaining contractual life |  |  |  |  | 1 year 6 months |  |
Restricted Stock Units (RSUs) | 2014 Equity Incentive Plan |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Vesting period |  |  |  | 3 years |  |  |
Restricted Stock Units (RSUs) | 2014 Equity Incentive Plan | Time Based Restricted Stock Unit |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Vesting period |  |  |  | 3 years |  |  |
Restricted Stock Units (RSUs) | 2014 Equity Incentive Plan | Performance Based Restricted Stock Unit |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Vesting period |  |  |  | 3 years |  |  |
Minimum | Restricted Stock Units (RSUs) | 2014 Equity Incentive Plan | Time Based Restricted Stock Unit |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Actual amount of RSUs earned based on cumulative earnings |  |  |  | 50.00% |  |  |
Maximum | Restricted Stock Units (RSUs) | 2014 Equity Incentive Plan | Performance Based Restricted Stock Unit |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Target RSUs granted range |  |  |  | 50.00% |  |  |

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