Share-Based Compensation - Summary of information about stock options 2019 plan (Details) - 2019 Plan - Exercise Price Range From Dollars 0.00 To Dollars 9.00 - Employee and Non Employee Stock Option	12 Months Ended
	Sep. 30, 2024 $ / shares shares
Information about stock options, by exercise price range
Exercise price, low end of range (in dollars per share)	$ 7.06
Exercise price, high end of range (in dollars per share)	$ 8.19
Options outstanding at the end of the period (in shares) | shares	361,613
Options Outstanding - Weighted-Average Remaining Contractual Life	8 years 9 months 18 days
Options Outstanding - Weighted-Average Exercise Price (in dollars per share)	$ 7.97
Options exercisable at the end of the period (in shares) | shares	225,000
Options Exercisable - Weighted-Average Exercise Price (in dollars per share)	$ 8.18