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Stock Plans (Tables)
3 Months Ended
Aug. 26, 2018
Stock Plans [Abstract]  
Schedule of compensation expense related to stock-based payments [Table Text Block]
Quarter Ended
In MillionsAug. 26, 2018Aug. 27, 2017
Compensation expense related to stock-based payments$26.2$29.6
Schedule of net cash proceeds received from the exercise of stock options [Table Text Block]
Quarter Ended
In MillionsAug. 26, 2018Aug. 27, 2017
Net cash proceeds$73.4$41.0
Intrinsic value of options exercised$31.9$40.3
Schedule of estimated fair value of stock options granted and the assumptions used for the Black-Scholes option-pricing model [Table Text Block]
Quarter Ended
Aug. 26, 2018Aug. 27, 2017
Estimated fair values of stock options granted $5.35$6.18
Assumptions:
Risk-free interest rate2.9%2.2%
Expected term8.5 years8.2 years
Expected volatility16.3%15.8%
Dividend yield4.3%3.6%
Schedule of information on stock option activity [Table Text Block]
Options Outstanding (Thousands)Weighted-Average Exercise Price Per ShareWeighted-Average Remaining Contractual Term (Years)Aggregate Intrinsic Value (Millions)
Balance as of May 27, 201828,963.8$42.90
Granted3,107.446.06
Exercised(2,455.9)31.70
Forfeited or expired(290.4)54.02
Outstanding as of Aug. 26, 201829,324.9$44.074.79$168.8
Exercisable as of Aug. 26, 201819,645.9$38.582.91$168.8
Schedule of information on restricted stock and performance share unit activity [Table Text Block]
Equity ClassifiedLiability Classified
Share-Settled Units (Thousands)Weighted-Average Grant-Date Fair ValueShare-Settled Units (Thousands)Weighted-Average Grant-Date Fair Value
Non-vested as of May 27, 20183,731.8$57.50121.3$58.26
Granted1,608.245.8733.846.12
Vested(548.5)51.60(33.3)54.38
Forfeited(227.0)64.47(9.2)57.98
Non-vested as of Aug. 26, 20184,564.5$53.77112.6$55.53

The total grant date fair value of restricted stock unit awards that vested during the period follows:

Quarter Ended
In MillionsAug. 26, 2018Aug. 27, 2017
Total grant date fair value$30.1$67.7