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Business Segment and Geographic Information (Schedule of operating segment results) (Details) - USD ($)
$ in Millions
3 Months Ended
Aug. 26, 2018
Aug. 27, 2017
Segment Reporting Information [Line Items]    
Net sales $ 4,094.0 $ 3,769.2
Operating profit 601.5 605.3
Restructuring, impairment, and other exit costs (recoveries) (1.4) 5.2
Operating Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 4,094.0 3,769.2
Operating profit 706.4 664.1
Unallocated Corporate Items [Member]    
Segment Reporting Information [Line Items]    
Operating profit 106.3 53.6
Significant Reconciling Items [Member]    
Segment Reporting Information [Line Items]    
Restructuring, impairment, and other exit costs (recoveries) (1.4) 5.2
North America Retail [Member] | Operating Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 2,387.8 2,438.2
Operating profit 548.1 533.2
U.S. Meals & Baking [Member] | Operating Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 837.5 856.0
U.S. Cereal [Member] | Operating Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 584.4 578.6
U.S. Snacks [Member] | Operating Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 533.5 558.6
U.S. Yogurt & Other [Member] | Operating Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 219.1 223.4
Canada [Member] | Operating Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 213.3 221.6
Europe & Australia [Member] | Operating Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 500.7 491.9
Operating profit 34.5 30.6
Convenience Stores & Foodservice [Member] | Operating Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 463.2 447.1
Operating profit 97.1 84.8
Asia & Latin America [Member] | Operating Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 399.0 392.0
Operating profit 12.2 15.5
Pet [Member] | Operating Segments [Member]    
Segment Reporting Information [Line Items]    
Net sales 343.3 0.0
Operating profit $ 14.5 $ 0.0