BASIS OF PRESENTATION and ACCOUNTING POLICIES - Disaggregated Revenues (Details) - USD ($) $ in Thousands	3 Months Ended
	Oct. 28, 2023	Oct. 29, 2022
Revenue from External Customer [Line Items]
Sales	$ 536,354	$ 519,689
Percentage of total sales	100.00%	100.00%
Center Store
Revenue from External Customer [Line Items]
Sales	$ 320,924	$ 311,824
Percentage of total sales	59.80%	60.00%
Fresh
Revenue from External Customer [Line Items]
Sales	$ 193,520	$ 189,008
Percentage of total sales	36.10%	36.40%
Pharmacy
Revenue from External Customer [Line Items]
Sales	$ 20,211	$ 17,169
Percentage of total sales	3.80%	3.30%
Other
Revenue from External Customer [Line Items]
Sales	$ 1,699	$ 1,688
Percentage of total sales	0.30%	0.30%