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Business Segment Information (Schedule of operating segment results) (Details)
$ in Millions
3 Months Ended
Aug. 28, 2016
USD ($)
segment
Aug. 30, 2015
USD ($)
Business Segment Information [Abstract]    
Number of Operating Segments | segment 3  
Segment Reporting Information [Line Items]    
Net sales $ 3,907.9 $ 4,207.9
Operating profit 645.8 683.3
Restructuring, impairment, and other exit costs 58.9 60.1
Operating Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 3,907.9 4,207.9
Operating profit 787.1 826.5
Significant Reconciling Items [Member]    
Segment Reporting Information [Line Items]    
Restructuring, impairment, and other exit costs 58.9 60.1
Corporate Non-Segment [Member]    
Segment Reporting Information [Line Items]    
Operating profit 82.4 83.1
U.S. Retail [Member] | Operating Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 2,331.8 2,531.2
Operating profit 594.4 629.7
International [Member] | Operating Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 1,129.8 1,199.0
Operating profit 100.0 117.0
Convenience Stores and Foodservice [Member] | Operating Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 446.3 477.7
Operating profit $ 92.7 $ 79.8