Equity and Stock-Based Compensation - Summary of RSU activity (Details) - RSU $ / shares in Units, $ in Thousands	12 Months Ended
	Sep. 30, 2023 USD ($) $ / shares shares
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Number of shares, Granted | shares	78,977
Number of shares, Vested | shares	(3,000)	[1]
Nonvested at end of period | shares	75,977	[2]
Weighted Average Grant Date Fair Value, Granted | $ / shares | $ / shares	$ 9.17
Weighted Average Grant Date Fair Value, Vested | $ / shares	9.61	[1]
Weighted Average Grant Date Fair Value, Nonvested at end of period | $ / shares	$ 9.15	[2]
Fair Value, Granted | $	$ 723,856
Fair Value, Vested | $	28,830	[1]
Fair Value at end of period | $	$ 578,945	[2]

[1] The aggregate fair value of vested RSU's represent the total pre-tax fair value, based on the closing stock price on the day of vesting, which would have been received by holders of RSU's had all such holders sold their underlying shares on that date.

[2] The aggregate fair value of the nonvested RSU's and represents the total pre-tax fair value, based on our closing stock price of $7.62 as of September 29, 2023, the last trading day of our fiscal year, which would have been received by holders of RSU's had all such holders sold their underlying shares on that date.