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Stock-based Compensation and Equity Grants - Stock-based Compensation Expense (Details) - USD ($) $ in Thousands | 3 Months Ended
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Dec. 31, 2021 | Dec. 31, 2020
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock option expense | $ 100 |
Total unrecognized expense | 6,078 |
DLH employees |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total unrecognized expense | $ 5,592 |
Weighted average share based compensation expense recognition period | 4 years 3 months 7 days |
Non-employee directors |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total unrecognized expense | $ 486 |
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) | 53,510 |
NEO | Restricted Stock Units |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Number of restricted stock units granted (in shares) | 147,431 |
Selling, General and Administrative Expenses |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock option expense | $ 500 | $ 458
Selling, General and Administrative Expenses | DLH employees |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock option expense | 338 | 342
Selling, General and Administrative Expenses | Non-employee directors |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock option expense | $ 162 | $ 116

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