RELATED PARTY INFORMATION - WAKEFERN (Details) - USD ($) $ in Thousands				12 Months Ended
	Feb. 15, 2024	Sep. 28, 2022	Aug. 15, 2022	Jul. 27, 2024	Jul. 29, 2023
Related Party Transaction [Line Items]
Interest income earned on investments related entity				$ 14,799	$ 11,399
Maturity of notes receivable from Wakefern				$ 33,338	28,850
Wakefern
Related Party Transaction [Line Items]
Ownership interest in Wakefern				12.80%
Purchase obligation, as a percentage of merchandise requirements				85.00%
Purchase obligation period				10 years
Percentage of stockholders to request termination				75.00%
Accounts payable to Wakefern				$ 1,662
Vendor allowances and rebates				46,302	43,967
Support services incurred charges				42,459	42,678
Demand deposits invested at related party Wakefern				97,126	122,028
Interest income earned on investments related entity				$ 14,717	$ 11,295
Wakefern | Related Party Note Receivable Maturing August 2022
Related Party Transaction [Line Items]
Basis spread on variable rate (as a percent)			1.25%
Maturity of notes receivable from Wakefern			$ 28,850
Wakefern | Related Party Note Receivable Maturing February 2024
Related Party Transaction [Line Items]
Basis spread on variable rate (as a percent)	0.75%			0.50%
Maturity of notes receivable from Wakefern	$ 33,338			$ 34,293
Wakefern | Related Party Note Receivable Maturing February 2024 | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate
Related Party Transaction [Line Items]
Basis spread on variable rate (as a percent)	2.25%			2.25%
Wakefern | Related Party Note Receivable Maturing August 2027
Related Party Transaction [Line Items]
Basis spread on variable rate (as a percent)			0.50%	0.50%
Maturity of notes receivable from Wakefern				$ 33,740
Wakefern | Related Party Note Receivable Maturing September 2027
Related Party Transaction [Line Items]
Basis spread on variable rate (as a percent)		0.50%
Maturity of notes receivable from Wakefern		$ 30,000		$ 34,829
Wakefern | Insure-Rite Ltd.
Related Party Transaction [Line Items]
Investment in Insure-Rite, Ltd				8.90%
Stock Subscriptions Outstanding, Payments Due In 2026
Related Party Transaction [Line Items]
Related party transaction amount				$ 534
Stock Subscriptions Outstanding, Payments Due In 2027
Related Party Transaction [Line Items]
Related party transaction amount				352
Stock Subscriptions Outstanding, Payments Due In 2028
Related Party Transaction [Line Items]
Related party transaction amount				25
Stock Subscriptions Outstanding, Payments Due After 2028
Related Party Transaction [Line Items]
Related party transaction amount				0
Per Store Investment, Maximum | Wakefern
Related Party Transaction [Line Items]
Related party transaction amount				$ 975