GOODWILL AND OTHER IDENTIFIABLE INTANGIBLE ASSETS (Change in Carrying Amount of Goodwill) (Details) $ in Millions	6 Months Ended
	Nov. 29, 2015 USD ($)
Goodwill [Roll Forward]
Balance as of beginning of period	$ 4,699.5
Currency translation and purchase accounting adjustments	(14.0)
Balance as of end of period	4,685.5
Consumer Foods | Reporting segments
Goodwill [Roll Forward]
Balance as of beginning of period	3,824.6
Currency translation and purchase accounting adjustments	(13.1)
Balance as of end of period	3,811.5
Commercial Foods | Reporting segments
Goodwill [Roll Forward]
Balance as of beginning of period	874.9
Currency translation and purchase accounting adjustments	(0.9)
Balance as of end of period	$ 874.0