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Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Thousands | 12 Months Ended
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Oct. 01, 2022 | Oct. 02, 2021 | Oct. 03, 2020
Income Tax Disclosure [Abstract] |  |  |
U.S. federal income taxes at statutory rate | $ 14,433 | $ 32,954 | $ (4,217)
U.S. state and local income taxes, net of federal benefit and state credits | (2,594) | (9,473) | (2,798)
Foreign income tax rate differential | 970 | 1,430 | (75)
Stock-based compensation | (15,532) | (47,496) | 869
Federal research and development tax credits | (8,983) | (21,535) | (8,012)
Unrecognized federal tax benefits | (2,482) | 4,041 | 815
Change in tax rate | 5,013 | (2,681) |
Global intangible low taxed income, net of foreign tax credits | 290 |  |
162(m) executive compensation limitation | 2,574 |  |
Base erosion and anti-abuse tax |  |  | (781)
Other | 1,079 | (565) | 598
Change in valuation allowance | 6,579 | 41,655 | 13,633
Provision for income taxes | $ 1,347 | $ (1,670) | $ 32

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