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Stock Plans (Schedule of information on stock option activity) (Details)
$ / shares in Units, $ in Millions
9 Months Ended
Feb. 24, 2019
USD ($)
$ / shares
shares
Options Outstanding [Abstract]  
Beginning Balance, Outstanding | shares 28,963,800
Granted | shares 3,149,800
Exercised | shares (4,751,900)
Forfeited or expired | shares (447,000)
Ending Balance, Outstanding | shares 26,914,700
Ending Balance, Exercisable | shares 17,366,100
Weighted Average Exercise Price Per Share [Abstract]  
Beginning Balance, Outstanding | $ / shares $ 42.9
Granted | $ / shares 46.09
Exercised | $ / shares 30.53
Forfeited or expired | $ / shares 53.6
Ending Balance, Outstanding | $ / shares 45.28
Ending Balance, Exercisable | $ / shares $ 39.85
Weighted Average Remaining Contractual Term [Abstract]  
Ending Balance, Outstanding 4 years 7 months 6 days
Ending Balance, Exercisable 2 years 7 months 28 days
Aggregate Intrinsic Value [Abstract]  
Ending Balance, Outstanding | $ $ 139.6
Ending Balance, Exercisable | $ $ 138.0