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Restructuring Initiatives (Schedule of restructuring charges classification) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Nov. 27, 2016
Nov. 29, 2015
Nov. 27, 2016
Nov. 29, 2015
Restructuring and Related Cost [Line Items]        
Restructuring charges $ 41.8 $ 83.1 $ 114.3 $ 165.0
Project-related costs classified in cost of sales 11.1 16.2 24.9 29.3
Cost of Sales [Member]        
Restructuring and Related Cost [Line Items]        
Restructuring charges 12.8 21.8 26.4 43.6
Restructuring, Impairment, and Other Exit Costs [Member]        
Restructuring and Related Cost [Line Items]        
Restructuring charges $ 29.0 $ 61.3 $ 87.9 $ 121.4