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Reporting Segment Information - Schedule of Segment Reporting Information, by Operating Segment (Detail) - USD ($)
$ in Thousands
 4 Months Ended 9 Months Ended
Apr. 24, 2021
Apr. 18, 2020
Oct. 03, 2020
Oct. 05, 2019
Jan. 02, 2021
Dec. 28, 2019
Segment Reporting Information [Line Items]            
Net sales $ 2,657,799 $ 2,856,456        
Acquisition and integration 59          
Restructuring and asset impairment, net (161) 10,237        
Depreciation and amortization 28,091 28,029        
Operating earnings (loss) 30,195 22,030        
Capital expenditures 22,124 17,893 $ 22,124 $ 17,893    
Total Assets 2,275,566       $ 2,277,391 $ 2,277,391
Operating Segments [Member]            
Segment Reporting Information [Line Items]            
Net sales 2,657,799 2,856,456        
Intersegment Eliminations [Member]            
Segment Reporting Information [Line Items]            
Net sales 310,804 324,127        
Food Distribution [Member]            
Segment Reporting Information [Line Items]            
Net sales 1,334,082 1,369,495        
Restructuring and asset impairment, net (18) 9,222        
Depreciation and amortization 9,790 10,556        
Operating earnings (loss) 21,146 11,390        
Capital expenditures 9,956 7,019        
Total Assets 1,129,685         1,112,961
Food Distribution [Member] | Operating Segments [Member]            
Segment Reporting Information [Line Items]            
Net sales 1,334,082 1,369,495        
Food Distribution [Member] | Intersegment Eliminations [Member]            
Segment Reporting Information [Line Items]            
Net sales 310,631 324,127        
Retail [Member]            
Segment Reporting Information [Line Items]            
Net sales 739,444 782,568        
Acquisition and integration 59          
Restructuring and asset impairment, net (143) 1,015        
Depreciation and amortization 14,241 13,756        
Operating earnings (loss) 14,192 12,645        
Capital expenditures 9,135 9,594        
Total Assets 751,800         763,876
Retail [Member] | Operating Segments [Member]            
Segment Reporting Information [Line Items]            
Net sales 739,444 782,568        
Retail [Member] | Intersegment Eliminations [Member]            
Segment Reporting Information [Line Items]            
Net sales 173          
Military [Member]            
Segment Reporting Information [Line Items]            
Net sales 584,273 704,393        
Depreciation and amortization 4,060 3,717        
Operating earnings (loss) (5,143) (2,005)        
Capital expenditures 3,033 1,280        
Total Assets 394,081         $ 400,554
Military [Member] | Operating Segments [Member]            
Segment Reporting Information [Line Items]            
Net sales $ 584,273 $ 704,393