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Stock-based Compensation and Equity Grants - Stock-based Compensation Expense (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total compensation expense $ 1,898 $ 1,922
December 15, 2023    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Minimum average price (in dollars per share) $ 25.65  
January, 27 2023    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Minimum average price (in dollars per share) $ 33.21  
Restricted Stock Units    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Number of restricted stock units issued (in shares) 316,863 211,228
Term 3 years  
Performance Based Restricted Stock Awards Revenue | December 15, 2023    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Term 3 years  
Calculated fair value (in dollars per share) $ 3.82  
Performance Based Restricted Stock Awards Revenue | January, 27 2023    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Term 3 years  
Calculated fair value (in dollars per share) $ 3.51  
Performance Based Restricted Stock Awards Stock Price | December 15, 2023    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Term 3 years  
Calculated fair value (in dollars per share) $ 5.36  
Performance Based Restricted Stock Awards Stock Price | January, 27 2023    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Term 3 years  
Calculated fair value (in dollars per share) $ 2.92  
DLH Employees    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Unrecognized expense for DLH employees $ 4,417 $ 7,107
Weighted average period for recognition of compensation expense 2 years 11 months 23 days  
DLH Employees | Selling, General and Administrative Expenses    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total compensation expense $ 1,280 $ 1,204
Non-employee Directors | Restricted Stock Units    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Number of restricted stocks vested in period (in shares) 61,525 50,367
Non-employee Directors | Selling, General and Administrative Expenses    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total compensation expense $ 618 $ 718
NEO | Restricted Stock Units    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Number of restricted stock units issued (in shares) 169,544  
Volatility rate 50.00%  
NEO | Performance Shares    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Number of restricted stock units issued (in shares) 84,773  
NEO | Service Based Restricted Stock Units    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Number of restricted stock units issued (in shares) 84,771