SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES - Disaggregated Revenues (Details) - USD ($) $ in Thousands	12 Months Ended
	Jul. 29, 2023	Jul. 30, 2022
Revenue from External Customer [Line Items]
Sales	$ 2,166,654	$ 2,061,084
Percentage of total sales	100.00%	100.00%
Center Store
Revenue from External Customer [Line Items]
Sales	$ 1,300,061	$ 1,229,336
Percentage of total sales	60.00%	59.70%
Fresh
Revenue from External Customer [Line Items]
Sales	$ 787,770	$ 757,383
Percentage of total sales	36.40%	36.70%
Pharmacy
Revenue from External Customer [Line Items]
Sales	$ 71,749	$ 67,780
Percentage of total sales	3.30%	3.30%
Other Product
Revenue from External Customer [Line Items]
Sales	$ 7,074	$ 6,585
Percentage of total sales	0.30%	0.30%