Stock Plans (Schedule of information on stock option activity) (Details) - $ / shares	12 Months Ended
	May 28, 2017	May 29, 2016	May 31, 2015
Options (Thousands) [Abstract]
Balance Outstanding Beginning Balance	32,401,600	39,077,200	44,169,000
Granted	2,446,000	1,930,200	2,253,100
Exercised	(4,904,900)	(8,471,000)	(7,297,200)
Forfeited or expired	(108,300)	(134,800)	(47,700)
Balance Outstanding Ending Balance	29,834,400	32,401,600	39,077,200
Balance Exercisable Beginning Balance	22,385,100	26,991,500	29,452,800
Balance Exercisable Ending Balance	20,899,200	22,385,100	26,991,500
Weighted Average Exercise Price [Abstract]
Balance Outstanding Beginning Balance	$ 37.09	$ 34.35	$ 32.1
Granted	66.52	55.72	53.7
Exercised	30.76	28.49	26.68
Forfeited or expired	57.52	48.16	43.73
Balance Outstanding Ending Balance	40.47	37.09	34.35
Balance Exercisable Beginning Balance	32.38	30.44	28.37
Balance Exercisable Ending Balance	$ 33.83	$ 32.38	$ 30.44