SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES - Disaggregated Revenues (Details) - USD ($) $ in Thousands	12 Months Ended
	Jul. 26, 2025	Jul. 27, 2024
Revenue from External Customer [Line Items]
Sales	$ 2,320,690	$ 2,236,566
Percentage of total sales	100.00%	100.00%
Center Store
Revenue from External Customer [Line Items]
Sales	$ 1,384,040	$ 1,337,701
Percentage of total sales	59.70%	59.80%
Fresh
Revenue from External Customer [Line Items]
Sales	$ 833,038	$ 806,202
Percentage of total sales	35.90%	36.00%
Pharmacy
Revenue from External Customer [Line Items]
Sales	$ 93,453	$ 82,276
Percentage of total sales	4.00%	3.70%
Other Product
Revenue from External Customer [Line Items]
Sales	$ 10,159	$ 10,387
Percentage of total sales	0.40%	0.50%