Stock-based Compensation and Equity Grants - Stock-based Compensation Expense (Details) - USD ($) $ / shares in Units, $ in Thousands	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total compensation expense	$ 1,922	$ 2,608
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)	211,228	140,404
Term	3 years
Performance Based Restricted Stock Awards Revenue
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
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	$ 7,107	$ 5,214
Weighted average period for recognition of compensation expense	4 years 2 months 12 days
DLH Employees | Selling, General and Administrative Expenses
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total compensation expense	$ 1,204	$ 1,960
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)	50,367	53,510
Non-employee Directors | Selling, General and Administrative Expenses
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total compensation expense	$ 718	$ 648
NEO | Restricted Stock Units
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Number of restricted stock units issued (in shares)	197,174
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)	141,892
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)	55,282