Restructuring, Impairment, and Other Exit Costs (Schedule of restructuring charges classification) (Details) - USD ($) $ in Millions	12 Months Ended
	May 28, 2017	May 29, 2016	May 31, 2015
Restructuring and Related Cost [Line Items]
Restructuring, impairment, and other exit costs	$ 224.1	$ 229.8	$ 343.5
Project-related costs classified in cost of sales	43.9	57.5	13.2
Cost of Sales [Member]
Restructuring and Related Cost [Line Items]
Restructuring, impairment, and other exit costs	41.5	78.4	59.6
Restructuring Charges [Member]
Restructuring and Related Cost [Line Items]
Restructuring, impairment, and other exit costs	$ 182.6	$ 151.4	$ 283.9