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Equity and Stock-Based Compensation - Stock Options - Additional Information (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Intrinsic value of options outstanding	$ 0.4
Intrinsic value of options exercisable	$ 0.4
Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Common stock price	$ 7.62
Intrinsic value of stock options exercised	$ 0.6	$ 0.8	$ 0.8
Stock Options \| Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Option vesting period	1 year
Stock Options \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Expiration period	10 years
Option vesting period	3 years