PRE-TAX INCOME AND INCOME TAXES (Income Taxes Computed using U.S. Federal Statutory Rates) (Details) - USD ($) $ in Millions	12 Months Ended
	May 29, 2016	May 31, 2015	May 25, 2014
Income Tax Disclosure [Abstract]
Computed U.S. Federal income taxes	$ 252.5	$ 392.8	$ 281.2
State income taxes, net of U.S. Federal tax impact	1.2	22.1	10.9
Tax credits and domestic manufacturing deduction	(29.3)	(31.4)	(27.9)
Audit adjustments and settlements	(2.3)	0.0	(15.3)
Effect of taxes booked on foreign operations	(6.4)	(11.7)	(19.7)
Statute lapses on previously reserved items	(3.0)	(5.2)	(5.1)
Goodwill and intangible impairments	0.0	6.6	4.1
Change in legal structure and other state elections	0.0	0.0	(23.5)
Change in estimate related to tax methods used for certain international sales, federal credits, and state credits	6.0	(2.4)	(20.9)
Other	6.7	(8.7)	(5.5)
Income tax expense (benefit) continuing operations, total	$ 225.4	$ 362.1	$ 178.3