PRE-TAX INCOME AND INCOME TAXES - Reconciliation of Income Taxes to the Provision for Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
	May 28, 2017	May 29, 2016	May 31, 2015
Income Tax Disclosure [Abstract]
Computed U.S. Federal income taxes	$ 280.2	$ 61.2	$ 232.4
State income taxes, net of U.S. Federal tax impact	22.4	(6.4)	15.0
Tax credits and domestic manufacturing deduction	(19.8)	(16.5)	(21.0)
Audit adjustments and settlements	(0.9)	(2.1)	0.0
Effect of taxes booked on foreign operations	(6.5)	1.2	(8.2)
Statute lapses on previously reserved items	(2.3)	(2.3)	(4.4)
Goodwill and intangible impairments	104.7	0.0	6.6
Change in legal structure and other state elections	(7.5)	0.0	0.0
Stock compensation	(18.8)	0.0	0.0
Release of valuation allowance on capital loss carryforward	(84.1)	0.0	0.0
Change in estimate related to tax methods used for certain international sales, federal credits, and state credits	(8.0)	6.0	(2.4)
Other	(4.7)	5.3	(5.3)
Total provision for income taxes	$ 254.7	$ 46.4	$ 212.7