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Income Taxes (Details) - USD ($)
12 Months Ended
Oct. 02, 2021
Oct. 03, 2020
Sep. 28, 2019
Operating Loss Carryforwards [Line Items]      
Effective tax rate (as a percent) 60.20% 14.50% 25.60%
Statutory Federal income tax rate (as a percent) 21.00% 21.00% 21.00%
Accrued interest and penalties $ 300,000 $ 0  
Domestic Tax Authority      
Operating Loss Carryforwards [Line Items]      
Federal tax credit carryforward 500,000    
Operating loss carryforwards 1,000,000    
State and Local Jurisdiction      
Operating Loss Carryforwards [Line Items]      
Federal tax credit carryforward 8,900,000    
Tax credit carryforwards subject to expiration 3,600,000    
Operating loss carryforwards 16,500,000    
Operating loss carryforwards subject to expiration $ 10,900,000