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Income Taxes - Additional Information (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 02, 2021
Oct. 03, 2020
Jan. 02, 2021
Sep. 28, 2019
Income Tax Disclosure [Abstract]        
Effective income tax rate 22.40% 4.30%    
Valuation allowance   $ 5,425 $ 5,400 $ 16,798