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Business Segment Reporting - Narrative (Details)
6 Months Ended
Nov. 27, 2022
brand
segment
Nov. 28, 2021
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 19.00% 13.00%
Sales Revenue, Net | Customer Concentration Risk | Customer Two    
Revenue, Major Customer [Line Items]    
Concentration risk percentage 10.00% 12.00%
Accounts Receivable | Customer Concentration Risk | Customer One    
Revenue, Major Customer [Line Items]    
Concentration risk percentage 21.00% 14.00%
Accounts Receivable | Customer Concentration Risk | Customer Two    
Revenue, Major Customer [Line Items]    
Concentration risk percentage 14.00% 10.00%
Accounts Receivable | Customer Concentration Risk | Customer Three    
Revenue, Major Customer [Line Items]    
Concentration risk percentage 10.00%