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Export Sales - Schedule of Sales to Locations Outside of the United States (Details) - USD ($)
$ in Thousands
12 Months Ended
Jul. 03, 2022
Jun. 27, 2021
Concentration Risk [Line Items]    
Net sales $ 452,265 $ 485,295
Export Sales    
Concentration Risk [Line Items]    
Net sales $ 122,293 $ 130,260
Export Sales | Sales Revenue Net | Geographic Concentration Risk    
Concentration Risk [Line Items]    
Percentage of Export Sales 27.00% 27.00%