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SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES - Additional Information (Details) shares in Thousands, $ in Thousands	12 Months Ended
	Jul. 29, 2023 USD ($) store class segment shares	Jul. 30, 2022 USD ($) shares	Jul. 31, 2021 USD ($)
Business Acquisition [Line Items]
Number of stores acquired | store	34
Depreciation	$ 1,709	$ 1,583
Fiscal year period	364 days	364 days
Number of operating segments | segment	1
Credit and debit card receivables	$ 11,891	$ 11,653
Percentage of LIFO inventory	64.00%	61.00%
LIFO reserve inventory	$ 21,238	$ 18,616
Operating lease assets	274,100	293,295
Present value of lease liabilities	287,072
Adjustment to retained earnings from adoption of ASU 2016-02	410,166	372,109	$ 341,473
Financing obligations	(21,290)
Advertising expense	10,658	10,320
Indefinite-lived intangible assets	$ 13,299	$ 13,299
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	88	97
Restricted Stock Units (RSUs)
Business Acquisition [Line Items]
Class A shares excluded from computation of earnings per share (in shares) | shares	503	359
Buildings
Business Acquisition [Line Items]
Useful life	30 years
Store fixtures and equipment | Minimum
Business Acquisition [Line Items]
Useful life	5 years
Store fixtures and equipment | Maximum
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	$ 122,028	$ 110,739
Gourmet Garage Specialty Markets
Business Acquisition [Line Items]
Number of stores acquired | store	4

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