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Income Taxes - Effective tax reconciliation (Details) - USD ($) $ in Thousands | 12 Months Ended
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Oct. 03, 2020 | Sep. 28, 2019 | Sep. 29, 2018
Income Tax Disclosure [Abstract] |  |  |
U.S. federal income taxes at statutory rate | $ (4,217) | $ (226) | $ (3,570)
U.S. state and local income taxes | (2,798) | (9,315) | (1,441)
Foreign income tax rate differential | (75) | 129 | (53)
Stock-based compensation | 869 | (2,399) | 4,025
Federal research tax credits | (8,012) | (8,418) | (4,333)
Unrecognized federal tax benefits | 815 | (2,806) | 1,990
Change in tax rate | 0 | 1,161 | 25,725
Net Impact of GILTI | 0 | 239 | 0
BEAT | (781) | 781 | 0
Other | 598 | 822 | 259
Change in valuation allowance | 13,633 | 23,722 | (21,546)
Provision for income taxes | $ 32 | $ 3,690 | $ 1,056

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