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Stock-based Compensation and Equity Grants - Narrative (Details) - shares
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Stock Options    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Expiration term of options 10 years  
Number of shares available for grant (in shares) 1,200,000  
Restricted Stock Units    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Number of restricted stocks vested in period (in shares) 122,897  
Restricted Stock Units | Non-employee Directors    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Number of restricted stocks vested in period (in shares) 67,615 61,525
2016 Omnibus Equity Incentive Plan | Stock Options    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Expiration term of options 10 years