Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Thousands	12 Months Ended
Sep. 30, 2023	Oct. 01, 2022	Oct. 02, 2021
Income Tax Disclosure [Abstract]
U.S. federal income taxes at statutory rate	$ (923)	$ 14,433	$ 32,954
U.S. state and local income taxes, net of federal benefit and state credits	(841)	(2,594)	(9,473)
Foreign income tax rate differential	734	970	1,430
Stock-based compensation	104	(15,532)	(47,496)
Federal research and development tax credits	(7,591)	(8,983)	(21,535)
Unrecognized federal tax benefits	184	(2,482)	4,041
Change in tax rate		5,013	(2,681)
Global intangible low taxed income, net of foreign tax credits	1,234	290
Foreign -derived intangible income (FDII) deduction	(6,863)
Subpart F income	1,374
162(m) executive compensation limitation	2,513	2,574
Other	(695)	1,079	(565)
Change in valuation allowance	23,592	6,579	41,655
Provision for income taxes	$ 14,668	$ 1,347	$ (1,670)

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Effective Income Tax Rate Reconciliation, Unrecognized Federal Tax Benefits

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Income tax reconciliation section 162(m) executive compensation limitation.

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Amount of reported income tax benefit from difference to expected income tax expense (benefit) computed by applying domestic federal statutory income tax rate to pretax income (loss) from continuing operations, attributable to foreign-derived intangible income (FDII).

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Amount of reported income tax expense from difference to expected income tax expense (benefit) computed by applying domestic federal statutory income tax rate to pretax income (loss) from continuing operations, attributable to global intangible low-taxed income (GILTI).

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Amount of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

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Amount of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to increase (decrease) in the valuation allowance for deferred tax assets.

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Amount of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations, attributable to increase (decrease) in the income tax rates.

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The amount of income tax expense or benefit for the period computed by applying the domestic federal statutory tax rates to pretax income from continuing operations.

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Amount of reported income tax expense (benefit) in excess of (less than) expected income tax expense (benefit) computed by applying domestic federal statutory income tax rate to pretax income (loss) from continuing operation, attributable to nondeductible expense for award under share-based payment arrangement. Includes, but is not limited to, expense determined to be nondeductible upon grant or after for award under share-based payment arrangement.

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