Restructuring Initiatives (Schedule of restructuring and other exit cost reserves) (Details) $ in Millions	3 Months Ended
	Aug. 26, 2018 USD ($)
Restructuring Reserve [Roll Forward]
Restructuring Reserve, Beginning Balance	$ 66.8
Restructuring charges paid out of reserve, including foreign currency translation	(4.8)
Restructuring reserve utilized	(14.8)
Restructuring Reserve, Ending Balance	47.2
Severance [Member]
Restructuring Reserve [Roll Forward]
Restructuring Reserve, Beginning Balance	66.0
Restructuring charges paid out of reserve, including foreign currency translation	(4.8)
Restructuring reserve utilized	(14.7)
Restructuring Reserve, Ending Balance	46.5
Contract Termination [Member]
Restructuring Reserve [Roll Forward]
Restructuring Reserve, Beginning Balance	0.1
Restructuring charges paid out of reserve, including foreign currency translation	0.0
Restructuring reserve utilized	(0.1)
Restructuring Reserve, Ending Balance	0.0
Other Exit Costs [Member]
Restructuring Reserve [Roll Forward]
Restructuring Reserve, Beginning Balance	0.7
Restructuring charges paid out of reserve, including foreign currency translation	0.0
Restructuring reserve utilized	0.0
Restructuring Reserve, Ending Balance	$ 0.7