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Stock-based Compensation - Narrative (Details) - USD ($)
$ in Millions
6 Months Ended
Mar. 31, 2024
Sep. 30, 2023
Stock options    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Unrecognized compensation cost $ 0.1 $ 0.1
Time-based restricted stock | Minimum    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Award vesting period 2 years  
Time-based restricted stock | Maximum    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Award vesting period 3 years  
Performance-Based Restricted Shares    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Award vesting period 3 years  
Nonvested Stock Awards    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Unrecognized compensation cost $ 10.5 $ 6.9
Weighted average period to recognize remaining cost 1 year 11 months 12 days