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Stock Plans (Schedule of information on stock option activity) (Details)
$ / shares in Units, $ in Millions
3 Months Ended
Aug. 28, 2016
USD ($)
$ / shares
shares
Options Outstanding (Thousands) [Abstract]  
Beginning Balance, Outstanding | shares 32,401,600
Granted | shares 2,446,000
Exercised | shares (2,847,600)
Forfeited or expired | shares (29,000)
Ending Balance, Outstanding | shares 31,971,000
Ending Balance, Exercisable | shares 22,897,100
Weighted Average Exercise Price Per Share [Abstract]  
Beginning Balance, Outstanding | $ / shares $ 37.09
Granted | $ / shares 66.52
Exercised | $ / shares 30.29
Forfeited or expired | $ / shares 54.44
Ending Balance, Outstanding | $ / shares 39.93
Ending Balance, Exercisable | $ / shares $ 33.56
Weighted Average Remaining Contractual Term [Abstract]  
Ending Balance, Outstanding 4 years 9 months 11 days
Ending Balance, Exercisable 3 years 4 months 13 days
Aggregate Intrinsic Value [Abstract]  
Ending Balance, Outstanding | $ $ 989.0
Ending Balance, Exercisable | $ $ 854.3