Income Taxes (Schedule of earnings before income taxes and after-tax earnings from joint ventures and corresponding income taxes) (Details) - USD ($) $ in Millions	12 Months Ended
	May 28, 2017	May 29, 2016	May 31, 2015
Earnings before income taxes and after-tax earnings from joint ventures:
United States	$ 1,941.6	$ 1,941.4	$ 1,338.6
Foreign	329.7	462.2	423.3
Earnings before income taxes and after-tax earnings from joint ventures	2,271.3	2,403.6	1,761.9
Income taxes currently payable:
Federal	368.5	489.8	392.7
State and local	21.1	30.8	29.3
Foreign	81.7	114.0	139.5
Total current	471.3	634.6	561.5
Income taxes deferred:
Federal	201.3	123.0	70.3
State and local	10.2	(6.9)	(8.7)
Foreign	(27.6)	4.5	(36.3)
Total deferred	183.9	120.6	25.3
Total income taxes	$ 655.2	$ 755.2	$ 586.8