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Equity and Stock-Based Compensation - Stock Options - Additional Information (Details) - USD ($)	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Intrinsic value of options outstanding	$ 200,000
Intrinsic value of options exercisable	$ 100,000
Employee Stock Option
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Common stock price	$ 5.8
Intrinsic value of stock options exercised	$ 17,000	$ 600,000	$ 800,000
Employee Stock Option \| Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Option vesting period	1 year
Employee Stock Option \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Expiration period	10 years
Option vesting period	3 years