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Stock-based Compensation and Equity Grants - Stock-based Compensation Expense (Details) - USD ($)
$ in Thousands
3 Months Ended
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