Restructuring, Impairment, and Other Exit Costs (Schedule of restructuring charges classification) (Details) - USD ($) $ in Millions	12 Months Ended
	May 27, 2018	May 28, 2017	May 29, 2016
Restructuring and Related Cost [Line Items]
Restructuring charges	$ 82.7	$ 224.1	$ 229.8
Project-related costs classified in cost of sales	11.3	43.9	57.5
Cost of Sales [Member]
Restructuring and Related Cost [Line Items]
Restructuring charges	14.0	41.5	78.4
Restructuring, Impairment, and Other Exit Costs [Member]
Restructuring and Related Cost [Line Items]
Restructuring charges	$ 68.7	$ 182.6	$ 151.4