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BASIS OF PRESENTATION and ACCOUNTING POLICIES - Disaggregated Revenues (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Apr. 25, 2026
Apr. 26, 2025
Apr. 25, 2026
Apr. 26, 2025
Segment Reporting, Entity-Wide Information Not Provided as Part of Reportable Segment, Product and Service, Revenue [Line Items]        
Sales $ 572,587 $ 563,669 $ 1,796,139 $ 1,721,016
Percentage of total sales 100.00% 100.00% 100.00% 100.00%
Center Store        
Segment Reporting, Entity-Wide Information Not Provided as Part of Reportable Segment, Product and Service, Revenue [Line Items]        
Sales $ 334,838 $ 335,913 $ 1,062,040 $ 1,034,187
Percentage of total sales 58.50% 59.70% 59.10% 60.20%
Fresh        
Segment Reporting, Entity-Wide Information Not Provided as Part of Reportable Segment, Product and Service, Revenue [Line Items]        
Sales $ 209,679 $ 202,573 $ 647,813 $ 610,087
Percentage of total sales 36.60% 35.90% 36.10% 35.40%
Pharmacy        
Segment Reporting, Entity-Wide Information Not Provided as Part of Reportable Segment, Product and Service, Revenue [Line Items]        
Sales $ 24,591 $ 22,710 $ 77,140 $ 69,320
Percentage of total sales 4.30% 4.00% 4.30% 4.00%
Other        
Segment Reporting, Entity-Wide Information Not Provided as Part of Reportable Segment, Product and Service, Revenue [Line Items]        
Sales $ 3,479 $ 2,473 $ 9,146 $ 7,422
Percentage of total sales 0.60% 0.40% 0.50% 0.40%