Condensed Consolidated Statements of Stockholders' Equity (Unaudited) - 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	3,039							3,039
Net income (loss)	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, 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]
Net income (loss)	30,608
Ending balance (in shares) at Mar. 31, 2022			56,656
Ending balance at Mar. 31, 2022	$ 675,016		$ 567	341,913		384,246		(51,710)
Accounting Standards Update [Extensible Enumeration]	Accounting Standards Update 2020-06 [Member]
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)
Ending balance (in shares) at Sep. 30, 2022			56,425
Ending balance at Sep. 30, 2022	692,231		$ 564	345,330		402,006		(55,669)
Beginning balance (in shares) at Dec. 31, 2021			56,314
Beginning balance at Dec. 31, 2021	654,501		$ 563	339,955		369,359		(55,376)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Stock compensation	460			460
Transfer of consideration for other investment (in shares)			213
Transfer of consideration for other investment	1,500		$ 2	1,498
Release of restricted stock, net of shares withheld for taxes (in shares)			129
Release of restricted stock, net of shares withheld for taxes	2		$ 2
Foreign currency translation gain	3,666							3,666
Net income (loss)	14,887					14,887
Ending balance (in shares) at Mar. 31, 2022			56,656
Ending balance at Mar. 31, 2022	675,016		$ 567	341,913		384,246		(51,710)
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 equity consideration for acquisition (in shares)			10
Transfer of equity 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	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 (loss)	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)
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]
Net income (loss)	9,988
Ending balance (in shares) at Mar. 31, 2023			55,531
Ending balance at Mar. 31, 2023	712,588		$ 556	343,088		405,961		(37,017)
Beginning balance (in shares) at Dec. 31, 2022			55,848
Beginning balance at Dec. 31, 2022	705,335		$ 559	343,012		414,929		(53,165)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Stock compensation	1,855			1,855
Release of restricted stock, net of shares withheld for taxes (in shares)			132
Release of restricted stock, net of shares withheld for taxes	2		$ 2
Taxes paid related to net share settlement of equity awards (in shares)			(1)
Taxes paid related to net share settlement of equity awards	(11)			(11)
Foreign currency translation gain	16,148							16,148
Purchase and retirement of treasury stock (in shares)			(448)
Purchase and retirement of treasury stock	(3,951)		$ (5)	(1,768)		(2,178)
Net income (loss)	(6,790)					(6,790)
Ending balance (in shares) at Mar. 31, 2023			55,531
Ending balance at Mar. 31, 2023	$ 712,588		$ 556	$ 343,088		$ 405,961		$ (37,017)