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Stock Plans (Schedule of information on stock option activity) (Details)
$ / shares in Units, $ in Millions
3 Months Ended
Aug. 26, 2018
USD ($)
$ / shares
shares
Options Outstanding [Abstract]  
Beginning Balance, Outstanding | shares 28,963,800
Granted | shares 3,107,400
Exercised | shares (2,455,900)
Forfeited or expired | shares (290,400)
Ending Balance, Outstanding | shares 29,324,900
Ending Balance, Exercisable | shares 19,645,900
Weighted Average Exercise Price Per Share [Abstract]  
Beginning Balance, Outstanding | $ / shares $ 42.9
Granted | $ / shares 46.06
Exercised | $ / shares 31.7
Forfeited or expired | $ / shares 54.02
Ending Balance, Outstanding | $ / shares 44.07
Ending Balance, Exercisable | $ / shares $ 38.58
Weighted Average Remaining Contractual Term [Abstract]  
Ending Balance, Outstanding 4 years 9 months 14 days
Ending Balance, Exercisable 2 years 10 months 28 days
Aggregate Intrinsic Value [Abstract]  
Ending Balance, Outstanding | $ $ 168.8
Ending Balance, Exercisable | $ $ 168.8