Income Taxes - Deferred Tax Liabilities (Details) - USD ($) $ in Thousands	Sep. 30, 2022	Sep. 30, 2021
Deferred Tax Liabilities, Gross [Abstract]
Depreciation and intangible amortization	$ (56,856)	$ (50,181)
Right-of-use assets	(14,146)	(12,683)
Other liabilities	(402)	(1,883)
Net unrealized loss	(27,144)
Deferred tax liabilities	$ (98,548)	$ (64,747)