Restructuring Initiatives (Schedule of restructuring and other exit cost reserves) (Details) $ in Millions	6 Months Ended
	Nov. 29, 2015 USD ($)
Restructuring Reserve [Roll Forward]
Restructuring Reserve, Beginning Balance	$ 120.8
Restructuring charges paid out of reserve, including foreign currency translation	78.1
Restructuring reserve utilized	(63.7)
Restructuring Reserve, Ending Balance	135.2
Severance [Member]
Restructuring Reserve [Roll Forward]
Restructuring Reserve, Beginning Balance	118.6
Restructuring charges paid out of reserve, including foreign currency translation	72.5
Restructuring reserve utilized	(59.2)
Restructuring Reserve, Ending Balance	131.9
Contract Termination [Member]
Restructuring Reserve [Roll Forward]
Restructuring Reserve, Beginning Balance	0.6
Restructuring charges paid out of reserve, including foreign currency translation	1.5
Restructuring reserve utilized	(0.4)
Restructuring Reserve, Ending Balance	1.7
Other Exit Costs [Member]
Restructuring Reserve [Roll Forward]
Restructuring Reserve, Beginning Balance	1.6
Restructuring charges paid out of reserve, including foreign currency translation	4.1
Restructuring reserve utilized	(4.1)
Restructuring Reserve, Ending Balance	$ 1.6