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Stock Plans (Tables)
 3 Months Ended
Aug. 28, 2016
Stock Plans [Abstract]  
Schedule of compensation expense related to stock-based payments [Table Text Block]
Quarter Ended
In MillionsAug. 28, 2016Aug. 30, 2015
Compensation expense related to stock-based payments$39.0$32.9
Schedule of net cash proceeds received from the exercise of stock options [Table Text Block]
Quarter Ended
In MillionsAug. 28, 2016Aug. 30, 2015
Net cash proceeds$63.6$47.7
Intrinsic value of options exercised$114.3$82.2
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. 28, 2016Aug. 30, 2015
Estimated fair values of stock options granted $8.80$7.24
Assumptions:
Risk-free interest rate1.7%2.4%
Expected term8.5 years8.5 years
Expected volatility17.8%17.6%
Dividend yield2.9%3.2%
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 29, 201632,401.6$37.09
Granted2,446.066.52
Exercised(2,847.6)30.29
Forfeited or expired(29.0)54.44
Outstanding as of Aug. 28, 201631,971.0$39.934.78$989.0
Exercisable as of Aug. 28, 201622,897.1$33.563.37$854.3
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 29, 20165,100.4$48.60211.4$48.37
Granted1,242.567.4449.566.94
Vested(1,254.8)38.72(87.6)38.64
Forfeited(94.4)53.75(2.8)55.96
Exercisable as of Aug. 28, 20164,993.7$55.67170.5$56.04

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

Quarter Ended
In MillionsAug. 28, 2016Aug. 30, 2015
Total grant-date fair value$52.4$79.8