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Business Segment Information (Schedule of financial information by geographic area) (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
May 28, 2017
Feb. 26, 2017
Nov. 27, 2016
Aug. 28, 2016
May 29, 2016
Feb. 28, 2016
Nov. 29, 2015
Aug. 30, 2015
May 28, 2017
May 29, 2016
May 31, 2015
Segment Reporting Information [Line Items]                      
Net sales $ 3,806.6 $ 3,793.2 $ 4,112.1 $ 3,907.9 $ 3,927.9 $ 4,002.4 $ 4,424.9 $ 4,207.9 $ 15,619.8 $ 16,563.1 $ 17,630.3
Cash and cash equivalents 766.1       763.7       766.1 763.7  
Land, buildings, and equipment 3,687.7       3,743.6       3,687.7 3,743.6  
United States [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 11,160.9 11,930.9 12,501.8
Cash and cash equivalents 62.9       118.5       62.9 118.5  
Land, buildings, and equipment 2,704.0       2,755.1       2,704.0 2,755.1  
Non-United States [Member]                      
Segment Reporting Information [Line Items]                      
Net sales                 4,458.9 4,632.2 $ 5,128.5
Cash and cash equivalents 703.2       645.2       703.2 645.2  
Land, buildings, and equipment $ 983.7       $ 988.5       $ 983.7 $ 988.5