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Business Segment Reporting - Narrative (Details)
9 Months Ended
Feb. 26, 2023
brand
segment
Feb. 27, 2022
Revenue, Major Customer [Line Items]    
Number of operating segments | segment 3  
Number of natural food brands | brand 3  
Sales Revenue, Net | Customer Concentration Risk | Customer One    
Revenue, Major Customer [Line Items]    
Concentration risk percentage 37.00% 17.00%
Sales Revenue, Net | Customer Concentration Risk | Customer Two    
Revenue, Major Customer [Line Items]    
Concentration risk percentage 15.00% 13.00%
Accounts Receivable | Customer Concentration Risk | Customer One    
Revenue, Major Customer [Line Items]    
Concentration risk percentage 47.00% 25.00%
Accounts Receivable | Customer Concentration Risk | Customer Two    
Revenue, Major Customer [Line Items]    
Concentration risk percentage 10.00% 19.00%