Condensed Consolidated Statements of Stockholders' Equity - USD ($) shares in Thousands, $ in Thousands	Total	Cumulative Effect, Period of Adoption, Adjustment	Common Stock	Additional Paid-in Capital	Additional Paid-in Capital Cumulative Effect, Period of Adoption, Adjustment	Retained Earnings	Retained Earnings Cumulative Effect, Period of Adoption, Adjustment	Accumulated Other Comprehensive Loss
Beginning Balance (in shares) at Sep. 30, 2021			56,057
Beginning Balance at Sep. 30, 2021	$ 672,238	$ (37,406)	$ 560	$ 403,312	$ (64,263)	$ 326,781	$ 26,857	$ (58,415)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Stock compensation	1,698			1,698
Release of restricted stock, net of shares withheld for taxes (in shares)			257
Release of restricted stock, net of shares withheld for taxes	3		$ 3
Taxes paid related to net share settlement of equity awards	(792)			(792)
Foreign currency translation gain (loss)	3,039							3,039
Net income	15,721					15,721
Ending Balance (in shares) at Dec. 31, 2021			56,314
Ending Balance at Dec. 31, 2021	654,501		$ 563	339,955		369,359		(55,376)
Beginning Balance (in shares) at Sep. 30, 2022			56,425
Beginning Balance at Sep. 30, 2022	692,231		$ 564	345,330		402,006		(55,669)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Stock compensation	1,886			1,886
Transfer of consideration for acquisition (in shares)			10
Transfer of consideration for acquisition	99			99
Release of restricted stock, net of shares withheld for taxes (in shares)			235
Release of restricted stock, net of shares withheld for taxes	2		$ 2
Taxes paid related to net share settlement of equity awards	(1,138)			(1,138)
Foreign currency translation gain (loss)	2,504							2,504
Purchase and retirement of treasury stock (in shares)			(822)
Purchase and retirement of treasury stock	(7,027)		$ (7)	(3,165)		(3,855)
Net income	16,778					16,778
Ending Balance (in shares) at Dec. 31, 2022			55,848
Ending Balance at Dec. 31, 2022	$ 705,335		$ 559	$ 343,012		$ 414,929		$ (53,165)