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Stock Plans (Tables)
9 Months Ended
Feb. 24, 2019
Stock Plans [Abstract]  
Schedule of compensation expense related to stock-based payments [Table Text Block]
Quarter EndedNine-MonthPeriod Ended
In MillionsFeb. 24, 2019Feb. 25, 2018Feb. 24, 2019Feb. 25, 2018
Compensation expense related to stock-based payments$21.4$14.5$66.0$63.4
Schedule of net cash proceeds received from the exercise of stock options [Table Text Block]
Nine-Month Period Ended
In MillionsFeb. 24, 2019Feb. 25, 2018
Net cash proceeds$140.7$91.4
Intrinsic value of options exercised$66.5$79.9
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. 24, 2019Feb. 25, 2018
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
Granted3,149.846.09
Exercised(4,751.9)30.53
Forfeited or expired(447.0)53.60
Outstanding as of Feb. 24, 201926,914.7$45.284.60$139.6
Exercisable as of Feb. 24, 201917,366.1$39.852.66$138.0
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 27, 20183,731.8$57.50121.3$58.26
Granted1,816.246.0935.246.11
Vested(797.3)50.85(34.2)55.29
Forfeited(355.9)58.14(11.8)57.64
Non-vested as of Feb. 24, 20194,394.8$53.94110.5$55.38

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

Nine-Month Period Ended
In MillionsFeb. 24, 2019Feb. 25, 2018
Total grant date fair value$42.4$89.7