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Reporting Segment Information - Schedule of Segment Reporting Information, by Operating Segment (Detail) - USD ($)
$ in Thousands
 12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Segment Reporting Information [Line Items]      
Net sales $ 8,931,039 $ 9,348,485 $ 8,536,065
Acquisition and integration 708 421 1,437
Restructuring and asset impairment, net 2,886 24,398 13,050
Depreciation and amortization 92,711 89,876 88,401
Operating earnings (loss) 112,200 102,406 56,942
Capital expenditures 79,427 67,298 74,815
Total Assets 2,206,782 2,277,391  
Operating Segments [Member]      
Segment Reporting Information [Line Items]      
Net sales 8,931,039 9,348,485 8,536,065
Intersegment Eliminations [Member]      
Segment Reporting Information [Line Items]      
Net sales 1,096,474 1,125,471 976,372
Food Distribution [Member]      
Segment Reporting Information [Line Items]      
Net sales 4,456,800 4,577,178 3,982,609
Acquisition and integration     (122)
Restructuring and asset impairment, net 795 21,085 14,844
Depreciation and amortization 33,023 32,289 33,396
Operating earnings (loss) 59,489 45,962 47,416
Capital expenditures 31,847 25,055 28,385
Total Assets 1,092,851 1,112,961  
Food Distribution [Member] | Operating Segments [Member]      
Segment Reporting Information [Line Items]      
Net sales 4,456,800 4,577,178 3,982,609
Food Distribution [Member] | Intersegment Eliminations [Member]      
Segment Reporting Information [Line Items]      
Net sales 1,095,647 1,125,112 976,372
Retail [Member]      
Segment Reporting Information [Line Items]      
Net sales 2,581,286 2,637,917 2,381,349
Acquisition and integration 708 421 1,559
Restructuring and asset impairment, net 2,459 3,313 (1,794)
Depreciation and amortization 46,224 45,199 43,171
Operating earnings (loss) 66,971 66,359 18,842
Capital expenditures 33,407 33,894 40,135
Total Assets 747,342 763,876  
Retail [Member] | Operating Segments [Member]      
Segment Reporting Information [Line Items]      
Net sales 2,581,286 2,637,917 2,381,349
Retail [Member] | Intersegment Eliminations [Member]      
Segment Reporting Information [Line Items]      
Net sales 827 359  
Military [Member]      
Segment Reporting Information [Line Items]      
Net sales 1,892,953 2,133,390 2,172,107
Restructuring and asset impairment, net (368)    
Depreciation and amortization 13,464 12,388 11,834
Operating earnings (loss) (14,260) (9,915) (9,316)
Capital expenditures 14,173 8,349 6,295
Total Assets 366,589 400,554  
Military [Member] | Operating Segments [Member]      
Segment Reporting Information [Line Items]      
Net sales $ 1,892,953 $ 2,133,390 $ 2,172,107