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Stock-Based Compensation and Equity Grants - Schedule of Unrecognized Stock-Based Compensation Expense (Details) - USD ($)
$ in Thousands
6 Months Ended
Mar. 31, 2026
Mar. 31, 2025
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total unrecognized expense $ 4,148 $ 4,876
DLH employees    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total unrecognized expense $ 3,955 4,567
Weighted average share based compensation expense recognition period 2 years 8 months 1 day  
Non-employee directors    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total unrecognized expense $ 193 $ 309