Income Taxes - Foreign and Domestic Income Components (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Income Tax Disclosure [Abstract]
Domestic	$ 26,209	$ 49,937	$ 2,320
Foreign	25,424	17,776	13,742
Income before income taxes	$ 51,633	$ 67,713	$ 16,062