LEASES - Additional Information (Details) $ in Thousands	12 Months Ended
	Jul. 31, 2021 USD ($) real_estate_partnership contract property	Jul. 25, 2020 USD ($)
Lessee, Lease, Description [Line Items]
Number of retail stores leased (in contracts) | contract	32
Lease renewal terms	5 years
Finance lease, right-of-use asset	$ 12,806	$ 13,753
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	$ 9,280
Lease expense		$ 688
Present value of lease liabilities	$ 299,762
Number of real estate partnerships with company ownership interests | real_estate_partnership	3
Number of partnerships to which rent was paid for leased stores | real_estate_partnership	2
Rent paid to related partnership	$ 1,579	1,556
Rent paid to Wakefern under sublease agreement	$ 1,355	1,355
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	$ 704	$ 704
Affiliated Entity | Supermarket Leased From Realty Firm Which Company Officers Partially Own
Lessee, Lease, Description [Line Items]
Present value of lease liabilities	3,227
Affiliated Entity | Stores Leased From Real Estate Partnerships Which Company Has Ownership Interest In
Lessee, Lease, Description [Line Items]
Present value of lease liabilities	12,781
Affiliated Entity | Stores Subleased From Wakefern
Lessee, Lease, Description [Line Items]
Present value of lease liabilities	$ 2,276