BASIS OF PRESENTATION and ACCOUNTING POLICIES - Disaggregated Revenues (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Jan. 29, 2022	Jan. 23, 2021	Jan. 29, 2022	Jan. 23, 2021
Revenue from External Customer [Line Items]
Sales	$ 537,408	$ 522,818	$ 1,031,619	$ 1,012,954
Percentage of total sales	100.00%	100.00%	100.00%	100.00%
Center Store
Revenue from External Customer [Line Items]
Sales	$ 324,362	$ 321,829	$ 620,336	$ 617,769
Percentage of total sales	60.30%	61.50%	60.10%	61.00%
Fresh
Revenue from External Customer [Line Items]
Sales	$ 194,329	$ 181,965	$ 374,152	$ 357,609
Percentage of total sales	36.20%	34.80%	36.30%	35.30%
Pharmacy
Revenue from External Customer [Line Items]
Sales	$ 16,756	$ 16,671	$ 33,604	$ 33,103
Percentage of total sales	3.10%	3.20%	3.30%	3.30%
Other
Revenue from External Customer [Line Items]
Sales	$ 1,961	$ 2,353	$ 3,527	$ 4,473
Percentage of total sales	0.40%	0.50%	0.30%	0.40%