Restructuring, Impairment, and Other Exit Costs (Schedule of restructuring and other exit cost reserves) (Details) (USD $) In Millions, unless otherwise specified	9 Months Ended
	Feb. 24, 2013
Restructuring Reserve [Line Items]
Restructuring Reserve, Beginning Balance	$ 85.9
Restructuring charges, including foreign currency translation	8.7
Restructuring Reserve Utilized	(62.3)
Restructuring Reserve, Ending Balance	32.3
Employee Severance [Member]
Restructuring Reserve [Line Items]
Restructuring Reserve, Beginning Balance	83.1
Restructuring charges, including foreign currency translation	8.7
Restructuring Reserve Utilized	(59.6)
Restructuring Reserve, Ending Balance	32.2
Contract Termination [Member]
Restructuring Reserve [Line Items]
Restructuring Reserve, Beginning Balance	2.7
Restructuring charges, including foreign currency translation	0
Restructuring Reserve Utilized	(2.7)
Restructuring Reserve, Ending Balance	0
Other Exit Costs [Member]
Restructuring Reserve [Line Items]
Restructuring Reserve, Beginning Balance	0.1
Restructuring charges, including foreign currency translation	0
Restructuring Reserve Utilized	0
Restructuring Reserve, Ending Balance	$ 0.1