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Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Thousands | 12 Months Ended
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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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