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Stock-Based Compensation and Equity Grants - Stock-based Compensation Expense (Details) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended
--- | --- | ---
Mar. 31, 2025 | Mar. 31, 2024 | Mar. 31, 2025 | Mar. 31, 2024
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Total stock option expense | $ 533 | $ 954 | $ 725 | $ 1,573
Restricted Stock Units |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Number of restricted stock units issued and outstanding (in shares) | 697,384 | 429,320 | 697,384 | 429,320
Selling, General and Administrative Expenses | DLH employees |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Total stock option expense | $ 403 | $ 774 | $ 416 | $ 1,314
Selling, General and Administrative Expenses | Non-employee directors |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Total stock option expense | $ 130 | $ 180 | $ 309 | $ 259

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