Income Taxes - Narrative (Details) - USD ($) $ in Thousands	9 Months Ended	12 Months Ended
	Jun. 30, 2022	Jun. 30, 2023	Sep. 30, 2021
Tax Credit Carryforward
Deferred tax assets, valuation allowance	$ 24,110	$ 15,995
Unrecognized Tax Benefits	6,716	7,561	$ 8,032
Accrued interest		1,100
Accrued penalties related to uncertain tax positions		500
Benefit for interest and penalties		(200)
Foreign derived intangible income (FDII)	17,150	36,436	$ 0
Unrecognized Tax Benefits, Decrease Resulting from Settlements with Taxing Authorities	$ 0	0
Decrease in Unrecognized Tax Benefits is Reasonably Possible		1,500
Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Reserves		3,200
Deferred Tax Assets, Tax Credit Carryforwards, Research		6,400
Deferred Tax Assets, Operating Loss Carryforwards, Foreign		5,700
Unrecognized Tax Benefits, Increase Resulting from Settlements with Taxing Authorities		9,100
Foreign
Tax Credit Carryforward
Net operating loss carryforwards		45,300
Research and development tax credit carryforward | Foreign
Tax Credit Carryforward
Tax credit carryforward		500
Research and development tax credit carryforward | State and Local Jurisdiction [Member]
Tax Credit Carryforward
Tax credit carryforward		$ 6,700