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Stock Plans (Tables)
9 Months Ended
Feb. 25, 2018
Stock Plans [Abstract]  
Schedule of compensation expense related to stock-based payments [Table Text Block]
Quarter EndedNine-MonthPeriod Ended
In MillionsFeb. 25, 2018Feb. 26, 2017Feb. 25, 2018Feb. 26, 2017
Compensation expense related to stock-based payments$14.5$20.1$63.4$77.7
Schedule of net cash proceeds received from the exercise of stock options [Table Text Block]
Nine-MonthPeriod Ended
In MillionsFeb. 25, 2018Feb. 26, 2017
Net cash proceeds$91.4$90.5
Intrinsic value of options exercised$79.9$153.1
Schedule of estimated fair value of stock options granted and the assumptions used for the Black-Scholes option-pricing model [Table Text Block]
Nine-Month Period Ended
Feb. 25, 2018Feb. 26, 2017
Estimated fair values of stock options granted $6.18$8.80
Assumptions:
Risk-free interest rate2.2%1.7%
Expected term8.2 years8.5 years
Expected volatility15.8%17.8%
Dividend yield3.6%2.9%
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 28, 201729,834.4$40.47
Granted2,816.755.52
Exercised(3,207.2)31.43
Forfeited or expired(146.8)58.69
Outstanding as of Feb. 25, 201829,297.1$42.824.36$343.4
Exercisable as of Feb. 25, 201820,297.2$36.082.74$343.4
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 28, 20174,491.2$56.08123.3$56.93
Granted1,473.655.3742.955.49
Vested(1,738.9)50.53(36.2)49.42
Forfeited(415.9)62.63(9.4)58.91
Non-vested as of Feb. 25, 20183,810.0$57.62120.6$58.31

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

Nine-Month Period Ended
In MillionsFeb. 25, 2018Feb. 26, 2017
Total grant date fair value$89.7$71.2