Income Taxes - Reconciliation of Reported Income Tax Expense (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021
Effective Income Tax Rate Reconciliation, Amount
Federal income tax expense computed by applying the statutory rate to income before income taxes	$ 6,404	$ 2,951
State taxes, net of federal benefit	1,156	48
Non-deductible transaction costs	(1)	204
Other	(148)	(356)
Change in valuation allowance	(472)	354
Total income tax expense	$ 6,939	$ 3,201
Effective Income Tax Rate Reconciliation, Percent of Pre-tax Earnings
Federal income tax expense computed by applying the statutory rate to income before income taxes	21.00%	21.00%
State taxes, net of federal benefit	3.80%	0.30%
Non-deductible transaction costs		1.50%
Other	(0.50%)	(2.50%)
Change in valuation allowance	(1.50%)	2.50%
Income tax expense	22.80%	22.80%