Condensed Consolidated Balance Sheets (Parenthetical) - USD ($) $ in Millions	Aug. 27, 2017	May 28, 2017
Statement of Financial Position [Abstract]
Allowance for doubtful accounts	$ 3.2	$ 3.1
Common stock, par value (in dollars per share)	$ 5	$ 5
Common stock, authorized (in shares)	1,200,000,000	1,200,000,000
Common stock, issued (in shares)	567,907,172	567,907,172
Treasury stock (in shares)	159,409,040	151,387,209