CONDENSED CONSOLIDATED STATEMENTS OF STOCKHOLDERS' EQUITY - USD ($) $ in Thousands	Total	Class A Common Stock	Class B Common Stock	Common Stock Class A Common Stock	Common Stock Class B Common Stock	Additional Paid-in Capital	Retained Earnings	Non-controlling Interest	Accumulated Other Comprehensive Income (Loss)
Beginning balance (in shares) at Sep. 30, 2022				14,212,000	1,430,000
Beginning balance at Sep. 30, 2022	$ 444,877			$ 142	$ 14	$ 180,296	$ 204,880	$ 59,552	$ (7)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net loss	11,428						8,900	2,528
Distributions to members	(319)						(10)	(309)
Shares issued upon vesting of equity-based awards, net of tax withholding (in shares)				86,000
Shares issued upon vesting of equity-based awards, net of tax withholding	(754)			$ 1		(755)
Equity-based compensation	2,572					2,572
Currency translation adjustment	11							1	10
Ending balance (in shares) at Dec. 31, 2022				14,298,000	1,430,000
Ending balance at Dec. 31, 2022	457,815			$ 143	$ 14	182,113	213,770	61,772	3
Beginning balance (in shares) at Sep. 30, 2023		14,420,129	1,429,940	14,420,000	1,430,000
Beginning balance at Sep. 30, 2023	414,078			$ 144	$ 14	193,018	165,432	55,469	1
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net loss	(7,970)						(7,170)	(800)
Distributions to members	(3,789)						0	(3,789)
Purchase of non-controlling interest	(18,840)					716		(19,556)
Shares issued upon vesting of equity-based awards, net of tax withholding (in shares)				124,000
Shares issued upon vesting of equity-based awards, net of tax withholding	(1,552)			$ 1		(1,553)
Equity-based compensation	2,392					2,392
Currency translation adjustment	(9)							(1)	(8)
Ending balance (in shares) at Dec. 31, 2023		14,544,324	1,429,940	14,544,000	1,430,000
Ending balance at Dec. 31, 2023	$ 384,310			$ 145	$ 14	$ 194,573	$ 158,262	$ 31,323	$ (7)