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Stock Plans (Tables)
 6 Months Ended
Nov. 27, 2016
Stock Plans [Abstract]  
Schedule of compensation expense related to stock-based payments [Table Text Block]
Quarter EndedSix-MonthPeriod Ended
In MillionsNov. 27, 2016Nov. 29, 2015Nov. 27, 2016Nov. 29, 2015
Compensation expense related to stock-based payments$18.6$21.4$57.6$54.3
Schedule of net cash proceeds received from the exercise of stock options [Table Text Block]
Six-MonthPeriod Ended
In MillionsNov. 27, 2016Nov. 29, 2015
Net cash proceeds$77.0$64.5
Intrinsic value of options exercised$131.9$102.0
Schedule of estimated fair value of stock options granted and the assumptions used for the Black-Scholes option-pricing model [Table Text Block]
Six-Month Period Ended
Nov. 27, 2016Nov. 29, 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(3,302.9)30.37
Forfeited or expired(62.4)58.48
Outstanding as of Nov. 27, 201631,482.3$40.044.57$710.9
Exercisable as of Nov. 27, 201622,465.8$33.633.15$644.0
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
Granted1,335.767.3548.766.95
Vested(1,392.5)39.99(89.6)38.77
Forfeited(160.2)55.50(5.9)56.56
Exercisable as of Nov. 27, 20164,883.4$55.96164.6$56.02

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

Six-Month Period Ended
In MillionsNov. 27, 2016Nov. 29, 2015
Total grant date fair value$59.6$93.7