BASIS OF PRESENTATION and ACCOUNTING POLICIES - Disaggregated Revenues (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Apr. 27, 2024	Apr. 29, 2023	Apr. 27, 2024	Apr. 29, 2023
Revenue from External Customer [Line Items]
Sales	$ 546,396	$ 529,294	$ 1,658,329	$ 1,612,848
Percentage of total sales	100.00%	100.00%	100.00%	100.00%
Center Store
Revenue from External Customer [Line Items]
Sales	$ 325,450	$ 317,532	$ 996,947	$ 973,173
Percentage of total sales	59.60%	60.00%	60.10%	60.40%
Fresh
Revenue from External Customer [Line Items]
Sales	$ 199,157	$ 192,436	$ 595,287	$ 581,947
Percentage of total sales	36.40%	36.40%	35.90%	36.10%
Pharmacy
Revenue from External Customer [Line Items]
Sales	$ 20,247	$ 17,581	$ 60,795	$ 52,371
Percentage of total sales	3.70%	3.30%	3.70%	3.20%
Other
Revenue from External Customer [Line Items]
Sales	$ 1,542	$ 1,745	$ 5,300	$ 5,357
Percentage of total sales	0.30%	0.30%	0.30%	0.30%