Restructuring, Impairment, and Other Exit Costs (Schedule of restructuring and other exit cost reserves) (Details) - USD ($) $ in Millions	12 Months Ended
	May 29, 2016	May 31, 2015	May 25, 2014
Restructuring Reserve [Roll Forward]
Reserve beginning balance	$ 120.8	$ 3.5	$ 19.5
Restructuring charges paid out of reserve, including foreign currency translation	70.2	185.1	6.4
Restructuring reserve utilized	(114.4)	(67.8)	(22.4)
Reserve ending balance	76.6	120.8	3.5
Severance [Member]
Restructuring Reserve [Roll Forward]
Reserve beginning balance	118.6	3.5	19.5
Restructuring charges paid out of reserve, including foreign currency translation	64.3	176.4	6.4
Restructuring reserve utilized	(109.3)	(61.3)	(22.4)
Reserve ending balance	73.6	118.6	3.5
Contract Termination [Member]
Restructuring Reserve [Roll Forward]
Reserve beginning balance	0.6	0.0	0.0
Restructuring charges paid out of reserve, including foreign currency translation	1.6	0.6	0.0
Restructuring reserve utilized	(0.7)	0.0	0.0
Reserve ending balance	1.5	0.6	0.0
Other Exit Costs [Member]
Restructuring Reserve [Roll Forward]
Reserve beginning balance	1.6	0.0	0.0
Restructuring charges paid out of reserve, including foreign currency translation	4.3	8.1	0.0
Restructuring reserve utilized	(4.4)	(6.5)	0.0
Reserve ending balance	$ 1.5	$ 1.6	$ 0.0