Summary of Significant Accounting Policies - Reclassification (Details) - USD ($)	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Intangible assets, net	$ 27,012,292	$ 16,185,321
Total net sales	47,198,020	34,808,513	$ 27,740,695
Total cost of sales	$ 21,284,429	13,497,442	11,066,314
Customer service | Revision of prior period, Reclassification, Adjustment
Total net sales		11,100,000	4,900,000
Total cost of sales		3,400,000	1,500,000
Engineering and development contracts | Revision of prior period, Reclassification, Adjustment
Total net sales		1,100,000	400,000
Total cost of sales		$ 400,000	$ 200,000