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Stock-Based Compensation and Equity Grants - Stock-based Compensation Expense (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 31, 2025
Dec. 31, 2024
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total stock compensation expense $ 647 $ 193
Restricted Stock Units    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Number of restricted stock units granted (in shares) 959,582 708,325
DLH employees    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total stock compensation expense $ 550 $ 13
Non-employee directors    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Total stock compensation expense $ 97 $ 180
Non-employee directors | Restricted Stock Units    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
RSUs outstanding (in shares) 67,615 78,556
NEO | Restricted Stock Units    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Number of restricted stock units granted (in shares) 427,046 312,906
NEO | Performance Shares    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Number of restricted stock units granted (in shares) 380,338 156,453
NEO | Service Based Restricted Stock Units    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Number of restricted stock units granted (in shares) 46,708 156,453