Income Taxes (Details) - USD ($)	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Current provision (benefit):
Federal	$ 2,617,951	$ 1,541,726	$ 522,473
State	371,701	56,288	277,991
Total current provision (benefit)	2,989,652	1,598,014	800,464
Deferred provision (benefit)
Federal	(881,495)	28,994	998,585
State	(254,977)	(19,491)	18,782
Total deferred provision (benefit)	(1,136,472)	9,503	1,017,367
Total current and deferred provision (benefit)	$ 1,853,180	$ 1,607,517	$ 1,817,831
Reconciliation of the statutory federal rate to the Company's effective income tax rate
U.S. Federal statutory tax rate (as a percent)	21.00%	21.00%	21.00%
State income taxes, net of federal benefit (as a percent)	1.10%	0.40%	11.80%
Permanent items (as a percent)	0.10%		0.10%
Research and development tax credits (as a percent)	(1.60%)	(0.80%)	(0.10%)
Valuation allowance (as a percent)	(0.10%)	(0.10%)	(6.40%)
Change in unrecognized tax benefits (as a percent)	0.40%	0.10%	(1.50%)
123R cancellations and forfeitures (as a percent)	0.00%	0.40%	0.30%
Other (as a percent)	0.00%	0.10%	(0.50%)
Effective income tax rate (as a percent)	20.90%	21.10%	24.70%