GOODWILL AND OTHER IDENTIFIABLE INTANGIBLE ASSETS (Change in Carrying Amount of Goodwill) (Details) $ in Millions	3 Months Ended
	Aug. 30, 2015 USD ($)
Goodwill [Roll Forward]
Balance as of beginning of period	$ 4,699.5
Currency translation and purchase accounting adjustments	(10.0)
Balance as of ending of period	4,689.5
Consumer Foods
Goodwill [Roll Forward]
Balance as of beginning of period	3,824.6
Currency translation and purchase accounting adjustments	(9.5)
Balance as of ending of period	3,815.1
Commercial Foods
Goodwill [Roll Forward]
Balance as of beginning of period	874.9
Currency translation and purchase accounting adjustments	(0.5)
Balance as of ending of period	$ 874.4