LEASES - Additional Information (Details) $ in Thousands		12 Months Ended
	Oct. 13, 2021 USD ($)	Jul. 30, 2022 USD ($) real_estate_partnership property contract	Jul. 31, 2021 USD ($)
Lessee, Lease, Description [Line Items]
Number of retail stores leased (in contracts) | contract		31
Lease renewal terms		5 years
Finance lease, right-of-use asset		$ 11,859	$ 12,806
Finance Lease, Right-of-Use Asset, Statement of Financial Position [Extensible List]		Property, equipment and fixtures, net	Property, equipment and fixtures, net
Future lease payment obligations that have not yet commenced but have been executed		$ 18,948
Lease expense			$ 704
Present value of lease liabilities		$ 304,651
Number of real estate partnerships with company ownership interests | real_estate_partnership		4
Number of partnerships to which rent was paid for leased stores | real_estate_partnership		2
Rent paid to related partnership		$ 1,556	1,579
Rent paid to Wakefern under sublease agreement		$ 959	1,355
Payments to Acquire Real Estate	$ 9,800
Minimum
Lessee, Lease, Description [Line Items]
Initial lease terms		20 years
Maximum
Lessee, Lease, Description [Line Items]
Initial lease terms		30 years
Variable Interest Entity, Not Primary Beneficiary
Lessee, Lease, Description [Line Items]
Number of variable interest entity real estate partnerships | real_estate_partnership		1
Number of properties owned by VIE partnership | property		1
Percentage of profits and losses entitled to Company		33.00%
Officer
Lessee, Lease, Description [Line Items]
Officer ownership percentage in leasing property realty firm		30.00%
Lease expense		$ 735	$ 735
Affiliated Entity | Supermarket Leased From Realty Firm Which Company Officers Partially Own
Lessee, Lease, Description [Line Items]
Present value of lease liabilities		2,545
Affiliated Entity | Stores Leased From Real Estate Partnerships Which Company Has Ownership Interest In
Lessee, Lease, Description [Line Items]
Present value of lease liabilities		12,340
Affiliated Entity | Stores Subleased From Wakefern
Lessee, Lease, Description [Line Items]
Present value of lease liabilities		$ 607