Share Repurchases (Details) - USD ($) shares in Millions, $ in Millions	3 Months Ended		9 Months Ended		12 Months Ended
	Feb. 25, 2018	Feb. 26, 2017	Feb. 25, 2018	Feb. 26, 2017	May 28, 2017
Shares Repurchases [Abstract]
Shares of common stock purchased, shares	0.0	4.9	10.9	25.4
Shares purchased, aggregate purchase price	$ 0.7	$ 301.0	$ 601.2	$ 1,650.9	$ 1,651.5