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Stock-Based Compensation and Equity Grants - Schedule of Unrecognized Stock-Based Compensation Expense (Details) - USD ($)
$ in Thousands
9 Months Ended
Jun. 30, 2025
Jun. 30, 2024
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total unrecognized expense $ 4,158 $ 6,299
DLH employees    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total unrecognized expense $ 4,003 6,119
Weighted average share based compensation expense recognition period 2 years 3 months 14 days  
Non-employee directors    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total unrecognized expense $ 155 $ 180