Income Taxes - Schedule of Deferred Tax Assets (Liabilities) (Details) - USD ($) $ in Thousands	Sep. 30, 2022	Sep. 30, 2021
Deferred tax assets:
Net operating loss carryforwards	$ 44,131	$ 17,098
Capital loss carryforwards	8,187	8,187
Federal credit carryforwards	5,916	5,160
Accrued expenses and other reserves	3,316	5,992
Difference in timing of revenue related items	31,261	39,105
Acquired intangibles	89,434	102,481
Interest limitations carryforward	10,228	7,319
Operating lease liabilities	4,874	5,065
Depreciation	2,924	2,723
Deferred compensation	1,910	2,174
Pension obligation	730	1,870
Other	3,078	1,249
Total deferred tax assets	205,989	198,423
Valuation allowance for deferred tax assets	(126,860)	(12,209)
Deferred tax assets	79,129	186,214
Deferred tax liabilities:
Depreciation	(6,143)	(4,636)
Acquired intangibles	(14,570)	(17,204)
Convertible debt	(2,463)	(3,349)
Operating lease right-of-use assets	(4,189)	(4,303)
Other	(749)	(163)
Total deferred tax liabilities	(28,114)	(29,655)
Net deferred tax assets	$ 51,015	$ 156,559