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Stock Plans (Schedule of compensation expense related to stock-based payments) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Nov. 27, 2016
Nov. 29, 2015
Nov. 27, 2016
Nov. 29, 2015
Stock Plans [Abstract]        
Compensation expense related to stock-based payments $ 18.6 $ 21.4 $ 57.6 $ 54.3