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Business Segment Information (Schedule of operating segment results) (Details)
$ in Millions
3 Months Ended 6 Months Ended
Nov. 27, 2016
USD ($)
Nov. 29, 2015
USD ($)
Nov. 27, 2016
USD ($)
segment
Nov. 29, 2015
USD ($)
Business Segment Information [Abstract]        
Number of Operating Segments | segment     3  
Segment Reporting Information [Line Items]        
Net sales $ 4,112.1 $ 4,424.9 $ 8,020.0 $ 8,632.8
Operating profit 768.9 905.7 1,414.7 1,589.0
Divestitures loss (gain) 13.5 (199.1) 13.5 (199.1)
Restructuring, impairment, and other exit costs 29.0 61.3 87.9 121.4
Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 4,112.1 4,424.9 8,020.0 8,632.8
Operating profit 830.4 839.4 1,617.5 1,665.9
Significant Reconciling Items [Member]        
Segment Reporting Information [Line Items]        
Divestitures loss (gain) 13.5 (199.1) 13.5 (199.1)
Restructuring, impairment, and other exit costs 29.0 61.3 87.9 121.4
Corporate Non-Segment [Member]        
Segment Reporting Information [Line Items]        
Operating profit 19.0 71.5 101.4 154.6
U.S. Retail [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 2,521.3 2,761.9 4,853.1 5,293.1
Operating profit 615.4 600.4 1,209.8 1,230.1
International [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 1,103.3 1,157.2 2,233.1 2,356.2
Operating profit 105.9 136.2 205.9 253.2
Convenience Stores and Foodservice [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 487.5 505.8 933.8 983.5
Operating profit $ 109.1 $ 102.8 $ 201.8 $ 182.6