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Stock-Based Compensation and Equity Grants - Stock-based Compensation Expense (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended
--- | --- | ---
Jun. 30, 2024 | Jun. 30, 2023 | Jun. 30, 2024 | Jun. 30, 2023
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Total stock option expense | $ 717 | $ 668 | $ 2,290 | $ 2,020
Total unrecognized expense | 6,299 | 7,513 | $ 6,299 | $ 7,513
Restricted Stock Units |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Number of restricted stock units granted (in shares) |  |  | 429,320 | 337,578
Expected term (years) |  |  | 3 years |
DLH employees |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Total unrecognized expense | 6,119 | 7,358 | $ 6,119 | $ 7,358
Weighted average share based compensation expense recognition period |  |  | 3 years 2 months 1 day |
Non-employee directors |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Total unrecognized expense | $ 180 | $ 155 | $ 180 | $ 155
Non-employee directors | Restricted Stock Units |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Number of restricted stock units granted (in shares) | 61,525 | 50,367 |  |
NEO | Restricted Stock Units |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Number of restricted stock units granted (in shares) | 0 | 0 | 169,544 | 197,174
NEO | Performance Shares |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Number of restricted stock units granted (in shares) |  |  | 84,773 | 141,892
NEO | Service Based Restricted Stock Units |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Number of restricted stock units granted (in shares) |  |  | 84,771 | 55,282
Selling, General and Administrative Expenses | DLH employees |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Total stock option expense | $ 537 | $ 489 | $ 1,851 | $ 1,481
Selling, General and Administrative Expenses | Non-employee directors |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Total stock option expense | $ 180 | $ 179 | $ 439 | $ 539

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- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 14.F) -Publisher FASB -URI https://asc.fasb.org/1943274/2147479830/718-10-S99-1 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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