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Stock Plans (Schedule of information on restricted stock and performance award unit activity) (Details) - USD ($)
$ / shares in Units, $ in Millions
6 Months Ended
Nov. 27, 2016
Nov. 29, 2015
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other Than Options, Additional Disclosures [Abstract]    
Total grant-date fair value $ 59.6 $ 93.7
Equity Classified Share-Settled Units [Member]    
Settled Units [Abstract]    
Beginning Balance (Non-vested) 5,100,400  
Granted 1,335,700  
Vested (1,392,500)  
Forfeited (160,200)  
Ending Balance (Non-vested) 4,883,400  
Weighted Average Grant Date Fair Value [Abstract]    
Beginning Balance (Non-vested) $ 48.6  
Granted 67.35  
Vested 39.99  
Forfeited 55.5  
Ending Balance (Non-vested) $ 55.96  
Liability Classified Share-Settled Units [Member]    
Settled Units [Abstract]    
Beginning Balance (Non-vested) 211,400  
Granted 48,700  
Vested (89,600)  
Forfeited (5,900)  
Ending Balance (Non-vested) 164,600  
Weighted Average Grant Date Fair Value [Abstract]    
Beginning Balance (Non-vested) $ 48.37  
Granted 66.95  
Vested 38.77  
Forfeited 56.56  
Ending Balance (Non-vested) $ 56.02