INCOME TAXES (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Nov. 27, 2016	Nov. 29, 2015	Nov. 27, 2016	Nov. 29, 2015	May 29, 2016
Income Tax Disclosure [Abstract]
Income tax expense	$ 78.4	$ 43.1	$ 247.6	$ 92.4
Effective tax rate (as a percent)	40.70%	35.00%	53.80%	34.70%
Gross unrecognized tax benefits for uncertain tax positions	$ 31.7		$ 31.7		$ 33.0
Related liabilities for gross interest and penalties	6.8		6.8		6.6
Net amount of unrecognized tax benefits that, if recognized, would impact the effective tax rate	23.5		23.5		24.5
Gross unrecognized tax benefits, estimated decrease over the next twelve months (up to)	8.7		8.7
Deferred tax asset	1,190.0		1,190.0		1,540.0
Valuation allowance	1,190.0		$ 1,190.0		$ 1,400.0
Reduction in valuation allowance	$ 150.4