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Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 28, 2024	Sep. 30, 2023	Oct. 01, 2022
Income Tax Disclosure [Abstract]
U.S. federal income taxes at statutory rate	$ (5,702)	$ 923	$ 14,433
U.S. state and local income taxes, net of federal benefit and state credits	(2,496)	(841)	(2,594)
Foreign income tax rate differential	1,544	734	970
Stock-based compensation	2,726	104	(15,532)
Federal research and development tax credits	(8,240)	(7,591)	(8,983)
Unrecognized federal tax benefits	1,082	184	(2,482)
Change in tax rate	(188)	0	5,013
Global intangible low taxed income, net of foreign tax credits	944	1,234	290
Foreign -derived intangible income (FDII) deduction	(1,519)	(6,863)	0
Subpart F income	733	1,374	0
162(m) executive compensation limitation	1,496	2,513	2,574
Deferred adjustments	504	0	0
Intercompany IP sale	(10,412)	0	0
Other	(121)	(695)	1,079
Change in valuation allowance	30,644	23,592	6,579
Provision for income taxes	$ 10,995	$ 14,668	$ 1,347

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