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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, 2020 | Dec. 31, 2019
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock option expense | $ 100 |
Total unrecognized expense | 3,796 |
Selling, General and Administrative Expenses |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock option expense | 458 | $ 203
DLH employees |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total unrecognized expense | $ 3,445 |
Weighted average share based compensation expense recognition period | 4 years 6 months 3 days |
DLH employees | 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 |
DLH employees | Selling, General and Administrative Expenses |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock option expense | $ 342 | 116
Non-employee directors |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total unrecognized expense | $ 351 |
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) | 63,177 |
Non-employee directors | Selling, General and Administrative Expenses |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |
Total stock option expense | $ 116 | $ 87

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