BASIS OF PRESENTATION and ACCOUNTING POLICIES - Disaggregated Revenues (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Apr. 24, 2021	Apr. 25, 2020	Apr. 24, 2021	Apr. 25, 2020
Revenue from External Customer [Line Items]
Sales	$ 481,093	$ 458,292	$ 1,494,047	$ 1,303,116
Percentage of total sales	100.00%	100.00%	100.00%	100.00%
Center Store
Revenue from External Customer [Line Items]
Sales	$ 286,882	$ 291,257	$ 904,651	$ 812,089
Percentage of total sales	59.60%	63.50%	60.60%	62.30%
Fresh
Revenue from External Customer [Line Items]
Sales	$ 176,013	$ 148,489	$ 533,622	$ 434,669
Percentage of total sales	36.60%	32.40%	35.70%	33.40%
Pharmacy
Revenue from External Customer [Line Items]
Sales	$ 16,303	$ 17,252	$ 49,406	$ 52,486
Percentage of total sales	3.40%	3.80%	3.30%	4.00%
Other
Revenue from External Customer [Line Items]
Sales	$ 1,895	$ 1,294	$ 6,368	$ 3,872
Percentage of total sales	0.40%	0.30%	0.40%	0.30%