SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES - Additional Information (Details) shares in Thousands, $ in Thousands	12 Months Ended
	Jul. 30, 2022 USD ($) store segment class shares	Jul. 31, 2021 USD ($) shares	Jul. 25, 2020 USD ($)
Business Acquisition [Line Items]
Number of stores acquired | store	34
Fiscal year period	371 days	364 days
Number of operating segments | segment	1
Credit and debit card receivables	$ 11,653	$ 10,638
Percentage of LIFO inventory	61.00%
LIFO reserve inventory	$ 18,616	15,321
Operating lease assets	293,295	289,461
Present value of lease liabilities	304,651
Adjustment to retained earnings from adoption of ASU 2016-02	372,109	341,473	$ 332,320
Financing obligations	(22,106)
Advertising expense	10,320	12,268
Impairment of long-lived assets		514
Indefinite-lived intangible assets	$ 13,299	13,299
Impairment of trade name		$ 2,386
Number of common stock classes | class	2
Common stock cash dividends, percent Class A is entitled greater than Class B	54.00%
Class A Common Stock
Business Acquisition [Line Items]
Class A shares excluded from computation of earnings per share (in shares) | shares	97	102
Restricted Stock Units (RSUs)
Business Acquisition [Line Items]
Class A shares excluded from computation of earnings per share (in shares) | shares	359	392
Buildings
Business Acquisition [Line Items]
Useful life	30 years
Store fixtures and equipment
Business Acquisition [Line Items]
Useful life	10 years
Vehicles
Business Acquisition [Line Items]
Useful life	3 years
Wakefern
Business Acquisition [Line Items]
Demand deposits invested at related party Wakefern	$ 110,739	$ 86,670
Gourmet Garage Specialty Markets
Business Acquisition [Line Items]
Number of stores acquired | store	4