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 27, 2018	May 28, 2017	May 29, 2016
Earnings before income taxes and after-tax earnings from joint ventures:
United States	$ 1,884.0	$ 1,941.6	$ 1,941.4
Foreign	251.6	329.7	462.2
Earnings before income taxes and after-tax earnings from joint ventures	2,135.6	2,271.3	2,403.6
Income taxes currently payable:
Federal	441.2	368.5	489.8
State and local	35.2	21.1	30.8
Foreign	85.2	81.7	114.0
Total current	561.6	471.3	634.6
Income taxes deferred:
Federal	(478.5)	201.3	123.0
State and local	15.7	10.2	(6.9)
Foreign	(41.5)	(27.6)	4.5
Total deferred	(504.3)	183.9	120.6
Total income taxes	$ 57.3	$ 655.2	$ 755.2