Stock Plans (Schedule of information on stock option activity) (Details) - $ / shares	12 Months Ended
	May 27, 2018	May 28, 2017	May 29, 2016
Options (Thousands) [Abstract]
Balance Outstanding Beginning Balance	29,834,400	32,401,600	39,077,200
Granted	2,816,700	2,446,000	1,930,200
Exercised	(3,489,600)	(4,904,900)	(8,471,000)
Forfeited or expired	(197,700)	(108,300)	(134,800)
Balance Outstanding Ending Balance	28,963,800	29,834,400	32,401,600
Balance Exercisable Beginning Balance	20,899,200	22,385,100	26,991,500
Balance Exercisable Ending Balance	20,021,100	20,899,200	22,385,100
Weighted Average Exercise Price [Abstract]
Balance Outstanding Beginning Balance	$ 40.47	$ 37.09	$ 34.35
Granted	55.52	66.52	55.72
Exercised	31.46	30.76	28.49
Forfeited or expired	58.67	57.52	48.16
Balance Outstanding Ending Balance	42.9	40.47	37.09
Balance Exercisable Beginning Balance	33.83	32.38	30.44
Balance Exercisable Ending Balance	$ 36.15	$ 33.83	$ 32.38