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Investment in Unconsolidated Entities (Narrative) (Details) - USD ($)
$ in Thousands
12 Months Ended
Jun. 01, 2024
Jun. 03, 2023
May 28, 2022
Investments in and Advances to Affiliates [Line Items]      
Investments in affiliates, recorded using the equity method of accounting $ 8,200 $ 9,700  
Equity in income of unconsolidated entities $ 1,420 $ 746 $ 1,943
Specialty Eggs LLC [Member]      
Investments in and Advances to Affiliates [Line Items]      
Ownership percentage 50.00% 50.00%