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Reporting Segment Information - Schedule of Segment Reporting Information, by Operating Segment (Detail) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Oct. 09, 2021
Oct. 03, 2020
Oct. 09, 2021
Oct. 03, 2020
Jan. 02, 2021
Segment Reporting Information [Line Items]          
Net sales $ 2,073,253 $ 2,060,816 $ 6,837,612 $ 7,101,373  
Acquisition and integration 101 242 281 242  
Restructuring and asset impairment, net (195) 6,543 2,981 20,455  
Depreciation and amortization 21,763 20,858 71,260 68,984  
Operating earnings (loss) 22,731 28,998 78,847 85,000  
Capital expenditures 15,119 15,271 54,957 45,880  
Total Assets 2,242,680   2,242,680   $ 2,277,391
Operating Segments [Member]          
Segment Reporting Information [Line Items]          
Net sales 2,073,253 2,060,816 6,837,612 7,101,373  
Intersegment Eliminations [Member]          
Segment Reporting Information [Line Items]          
Net sales 250,209 247,968 830,885 845,988  
Food Distribution [Member]          
Segment Reporting Information [Line Items]          
Net sales 1,031,315 1,012,204 3,421,923 3,471,561  
Restructuring and asset impairment, net 36 6,538 799 19,222  
Depreciation and amortization 7,954 7,413 25,348 24,934  
Operating earnings (loss) 9,969 9,191 47,793 34,990  
Capital expenditures 7,895 5,223 22,288 16,619  
Total Assets 1,105,679   1,105,679   1,112,961
Food Distribution [Member] | Operating Segments [Member]          
Segment Reporting Information [Line Items]          
Net sales 1,031,315 1,012,204 3,421,923 3,471,561  
Food Distribution [Member] | Intersegment Eliminations [Member]          
Segment Reporting Information [Line Items]          
Net sales 250,055 247,968 830,313 845,988  
Retail [Member]          
Segment Reporting Information [Line Items]          
Net sales 608,737 596,659 1,968,158 2,010,483  
Acquisition and integration 101 242 281 242  
Restructuring and asset impairment, net 137 5 2,550 1,233  
Depreciation and amortization 10,633 10,489 35,559 34,570  
Operating earnings (loss) 16,802 22,318 43,705 59,416  
Capital expenditures 4,971 9,302 22,648 24,492  
Total Assets 738,347   738,347   763,876
Retail [Member] | Operating Segments [Member]          
Segment Reporting Information [Line Items]          
Net sales 608,737 596,659 1,968,158 2,010,483  
Retail [Member] | Intersegment Eliminations [Member]          
Segment Reporting Information [Line Items]          
Net sales 154   572    
Military [Member]          
Segment Reporting Information [Line Items]          
Net sales 433,201 451,953 1,447,531 1,619,329  
Restructuring and asset impairment, net (368)   (368)    
Depreciation and amortization 3,176 2,956 10,353 9,480  
Operating earnings (loss) (4,040) (2,511) (12,651) (9,406)  
Capital expenditures 2,253 746 10,021 4,769  
Total Assets 398,654   398,654   $ 400,554
Military [Member] | Operating Segments [Member]          
Segment Reporting Information [Line Items]          
Net sales $ 433,201 $ 451,953 $ 1,447,531 $ 1,619,329