BASIS OF PRESENTATION and ACCOUNTING POLICIES - Disaggregated Revenues (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Apr. 30, 2022	Apr. 24, 2021	Apr. 30, 2022	Apr. 24, 2021
Revenue from External Customer [Line Items]
Sales	$ 501,962	$ 481,093	$ 1,533,581	$ 1,494,047
Percentage of total sales	100.00%	100.00%	100.00%	100.00%
Center Store
Revenue from External Customer [Line Items]
Sales	$ 297,892	$ 286,882	$ 918,228	$ 904,651
Percentage of total sales	59.40%	59.60%	59.90%	60.60%
Fresh
Revenue from External Customer [Line Items]
Sales	$ 185,757	$ 176,013	$ 559,909	$ 533,622
Percentage of total sales	37.00%	36.60%	36.50%	35.70%
Pharmacy
Revenue from External Customer [Line Items]
Sales	$ 16,761	$ 16,303	$ 50,365	$ 49,406
Percentage of total sales	3.30%	3.40%	3.30%	3.30%
Other
Revenue from External Customer [Line Items]
Sales	$ 1,552	$ 1,895	$ 5,079	$ 6,368
Percentage of total sales	0.30%	0.40%	0.30%	0.40%