Restructuring Initiatives (Schedule of restructuring and other exit cost reserves) (Details) $ in Millions	3 Months Ended
	Aug. 28, 2016 USD ($)
Restructuring Reserve [Roll Forward]
Restructuring Reserve, Beginning Balance	$ 76.6
Restructuring charges paid out of reserve, including foreign currency translation	15.7
Restructuring reserve utilized	(20.5)
Restructuring Reserve, Ending Balance	71.8
Severance [Member]
Restructuring Reserve [Roll Forward]
Restructuring Reserve, Beginning Balance	73.6
Restructuring charges paid out of reserve, including foreign currency translation	14.9
Restructuring reserve utilized	(19.8)
Restructuring Reserve, Ending Balance	68.7
Contract Termination [Member]
Restructuring Reserve [Roll Forward]
Restructuring Reserve, Beginning Balance	1.5
Restructuring charges paid out of reserve, including foreign currency translation	0.0
Restructuring reserve utilized	(0.6)
Restructuring Reserve, Ending Balance	0.9
Other Exit Costs [Member]
Restructuring Reserve [Roll Forward]
Restructuring Reserve, Beginning Balance	1.5
Restructuring charges paid out of reserve, including foreign currency translation	0.8
Restructuring reserve utilized	(0.1)
Restructuring Reserve, Ending Balance	$ 2.2