Income Taxes - Provision (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Income Taxes
Statutory federal tax rate (as a percent)	21.00%	21.00%	21.00%
Income (loss) before income taxes:
U.S.	$ 38,864	$ (11,417)	$ (9,831)
Foreign	18,750	1,634	2,333
Income (loss) before income taxes	57,614	(9,783)	(7,498)
Current:
U.S. Federal	2,031	741	(371)
Foreign	3,302	349	541
State	639	228	29
Total	5,972	1,318	199
Deferred:
U.S. Federal	5,931	(2,986)	(2,266)
Foreign	120	470	56
State	(300)	(317)	(810)
Valuation allowance	804	415	1,801
Total	6,555	(2,418)	(1,219)
Total provision for (benefit from) income taxes	$ 12,527	$ (1,100)	$ (1,020)