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Equity and Stock-Based Compensation - Summary of Equity Compensation Plans (Details)
12 Months Ended
Sep. 30, 2024
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Shares Available for Grant 22,871
Options Outstanding 1,087,016
RSU  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Unvested RSUs Outstanding 24,897
2022 Plan  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Shares Authorized 1,000,000
Shares Available for Grant 22,871
Options Outstanding 851,250
Plan Expiration 2032-03
2022 Plan | RSU  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Unvested RSUs Outstanding 24,897
2007 Plan  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Shares Authorized 3,000,000
Options Outstanding 151,766
Plan Expiration 2024-03
Non-Employee Directors Stock Option Plan  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Shares Authorized 500,000
Options Outstanding 84,000
Plan Expiration 2024-03