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Stock Plans (Tables)
 3 Months Ended
Aug. 27, 2017
Stock Plans [Abstract]  
Schedule of compensation expense related to stock-based payments [Table Text Block]
Quarter Ended
In MillionsAug. 27, 2017Aug. 28, 2016
Compensation expense related to stock-based payments$29.6$39.0
Schedule of net cash proceeds received from the exercise of stock options [Table Text Block]
Quarter Ended
In MillionsAug. 27, 2017Aug. 28, 2016
Net cash proceeds$41.0$63.6
Intrinsic value of options exercised$40.3$114.3
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. 27, 2017Aug. 28, 2016
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(1,641.6)30.72
Forfeited or expired(57.2)58.13
Outstanding as of Aug. 27, 201730,952.3$42.334.69$423.2
Exercisable as of Aug. 27, 201721,848.1$35.783.10$420.4
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
Granted1,378.355.4642.755.50
Vested(1,353.7)48.82(32.8)48.43
Forfeited(282.8)64.88(6.1)58.98
Exercisable as of Aug. 27, 20174,233.0$57.61127.1$58.36

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

Quarter Ended
In MillionsAug. 27, 2017Aug. 28, 2016
Total grant date fair value$67.7$52.4