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Long-Term Debt - Narrative (Details) - USD ($)
3 Months Ended
Aug. 26, 2022
Nov. 24, 2020
Oct. 01, 2022
Jul. 02, 2022
Sep. 03, 2021
Sep. 02, 2021
Aug. 14, 2020
Debt Disclosure [Line Items]              
Increase in revolving line of credit         $ 120,000,000 $ 93,000,000  
Revolving credit facility outstanding amount     $ 105,400,000 $ 95,100,000      
Letters of credit outstanding amount     300,000 300,000      
Additional availability of line of credit     10,600,000 10,800,000      
Long-term Debt     $ 112,331,000        
Interest rate on outstanding debt   5.52%         4.85%
Line of Credit | Fixed Rate              
Debt Disclosure [Line Items]              
Variable rate on line of credit facility (percent)     2.50%        
Line of Credit | London interbank offered rate (LIBOR)              
Debt Disclosure [Line Items]              
Variable rate on line of credit facility (percent)     1.00%        
Percentage on variable floor rate (as percent)     0.50%        
Equipment Term Loan              
Debt Disclosure [Line Items]              
Long-term Debt     $ 3,100,000 3,300,000     $ 5,000,000
Periodic payment of principal amount     94,000        
JZ Equipment Term Loan              
Debt Disclosure [Line Items]              
Long-term Debt   $ 6,000,000 $ 4,300,000 $ 4,600,000      
Periodic payment of principal amount   $ 100,000          
Bank of America              
Debt Disclosure [Line Items]              
Increase in interest rate 0.25%            
Bank of America | Line of Credit              
Debt Disclosure [Line Items]              
Percentage of additional interest rate On default     2.00%        
Percentage of unused portion of credit     0.25%        
Revolving credit facility | Line of Credit | Federal funds rate              
Debt Disclosure [Line Items]              
Variable rate on line of credit facility (percent)     0.50%        
Minimum              
Debt Disclosure [Line Items]              
Interest rate on outstanding debt     4.85% 3.25%      
Minimum | Bank of America | Line of Credit | London interbank offered rate (LIBOR)              
Debt Disclosure [Line Items]              
LIBOR rate (as percent)     2.25%        
Minimum | Bank of America | Line of Credit | Base rate              
Debt Disclosure [Line Items]              
Variable rate on line of credit facility (percent)     1.25%        
Maximum              
Debt Disclosure [Line Items]              
Interest rate on outstanding debt     6.15% 5.52%      
Maximum | Bank of America | Line of Credit | London interbank offered rate (LIBOR)              
Debt Disclosure [Line Items]              
LIBOR rate (as percent)     2.75%        
Maximum | Bank of America | Line of Credit | Base rate              
Debt Disclosure [Line Items]              
Variable rate on line of credit facility (percent)     1.75%