Restructuring, Impairment, and Other Exit Costs (Schedule of restructuring and other exit cost reserves) (Details) - USD ($) $ in Millions	12 Months Ended
	May 27, 2018	May 28, 2017	May 29, 2016
Restructuring Reserve [Roll Forward]
Reserve beginning balance	$ 85.0	$ 76.6	$ 120.8
Restructuring charges paid out of reserve, including foreign currency translation	40.3	104.0	70.2
Restructuring reserve utilized	(58.5)	(95.6)	(114.4)
Reserve ending balance	66.8	85.0	76.6
Severance [Member]
Restructuring Reserve [Roll Forward]
Reserve beginning balance	81.8	73.6	118.6
Restructuring charges paid out of reserve, including foreign currency translation	40.8	95.0	64.3
Restructuring reserve utilized	(56.6)	(86.8)	(109.3)
Reserve ending balance	66.0	81.8	73.6
Contract Termination [Member]
Restructuring Reserve [Roll Forward]
Reserve beginning balance	0.7	1.5	0.6
Restructuring charges paid out of reserve, including foreign currency translation	0.2	0.9	1.6
Restructuring reserve utilized	(0.8)	(1.7)	(0.7)
Reserve ending balance	0.1	0.7	1.5
Other Exit Costs [Member]
Restructuring Reserve [Roll Forward]
Reserve beginning balance	2.5	1.5	1.6
Restructuring charges paid out of reserve, including foreign currency translation	(0.7)	8.1	4.3
Restructuring reserve utilized	(1.1)	(7.1)	(4.4)
Reserve ending balance	$ 0.7	$ 2.5	$ 1.5