SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES - Disaggregated Revenues (Details) - USD ($) $ in Thousands	12 Months Ended
	Jul. 27, 2024	Jul. 29, 2023
Revenue from External Customer [Line Items]
Sales	$ 2,236,566	$ 2,166,654
Percentage of total sales	100.00%	100.00%
Center Store
Revenue from External Customer [Line Items]
Sales	$ 1,337,512	$ 1,300,061
Percentage of total sales	59.80%	60.00%
Fresh
Revenue from External Customer [Line Items]
Sales	$ 809,959	$ 787,770
Percentage of total sales	36.20%	36.40%
Pharmacy
Revenue from External Customer [Line Items]
Sales	$ 82,276	$ 71,749
Percentage of total sales	3.70%	3.30%
Other Product
Revenue from External Customer [Line Items]
Sales	$ 6,819	$ 7,074
Percentage of total sales	0.30%	0.30%