Restructuring Initiatives (Schedule of restructuring and other exit cost reserves) (Details) (USD $) In Millions, unless otherwise specified	9 Months Ended
	Feb. 22, 2015
Restructuring Reserve [Line Items]
Restructuring Reserve, Beginning Balance	$ 3.5
Restructuring charges paid out of reserve, including foreign currency translation	183.7
Restructuring reserve utilized	(41.4)
Restructuring Reserve, Ending Balance	145.8
Severance [Member]
Restructuring Reserve [Line Items]
Restructuring Reserve, Beginning Balance	3.5
Restructuring charges paid out of reserve, including foreign currency translation	175.0
Restructuring reserve utilized	(35.4)
Restructuring Reserve, Ending Balance	143.1
Contract Termination [Member]
Restructuring Reserve [Line Items]
Restructuring Reserve, Beginning Balance	0
Restructuring charges paid out of reserve, including foreign currency translation	0.6
Restructuring reserve utilized	0
Restructuring Reserve, Ending Balance	0.6
Other Exit Costs [Member]
Restructuring Reserve [Line Items]
Restructuring Reserve, Beginning Balance	0
Restructuring charges paid out of reserve, including foreign currency translation	8.1
Restructuring reserve utilized	(6.0)
Restructuring Reserve, Ending Balance	$ 2.1