BUSINESS ACQUISITION - Additional Information (Details) $ in Thousands			12 Months Ended
	May 14, 2020 USD ($) ft² store	Jun. 24, 2019 USD ($) store	Jul. 25, 2020 USD ($) store	Jul. 27, 2019 USD ($)
Business Acquisition [Line Items]
Number of stores acquired | store			35
Payment for acquisition, net of cash acquired		$ 5,267	$ 73,622	$ 5,267
Goodwill acquired in acquisition			$ 24,190	$ 12,650
Fairway Markets
Business Acquisition [Line Items]
Number of stores acquired | store	5
Average area of each supermarket acquired (in sq ft) | ft²	52,000
Average selling area of each supermarket acquired (in sq ft) | ft²	30,000
Payment for acquisition, net of cash acquired	$ 73,622
Acquisition credit	2,035
Goodwill acquired in acquisition	11,540
Intangibles assets acquired in acquisition	14,200
Fairway Markets | Off-Market Favorable Lease
Business Acquisition [Line Items]
Finite-lived intangible asset acquired	$ 4,360
Gourmet Garage Specialty Markets
Business Acquisition [Line Items]
Number of stores acquired | store		3	3
Goodwill acquired in acquisition		$ 593
Intangibles assets acquired in acquisition		$ 1,485