Shares Repurchased and Dividends - Narrative (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Millions			3 Months Ended		9 Months Ended
	Mar. 28, 2018	Mar. 27, 2018	May 26, 2018	May 27, 2017	May 26, 2018	May 27, 2017
Equity, Class of Treasury Stock [Line Items]
Repurchase of common stock, value		$ 146.0
Shares repurchased, average price per share (in dollars per share)		$ 124.00
Class B Common Stock
Equity, Class of Treasury Stock [Line Items]
Shares repurchased (in shares)		1,105
Quarterly dividend amount (in dollars per share)	$ 0.09	$ 0.03	$ 0.0900	$ 0.03	$ 0.15	$ 0.0900
Common Stock
Equity, Class of Treasury Stock [Line Items]
Shares repurchased (in shares)		73
Quarterly dividend amount (in dollars per share)	$ 0.1125	$ 0.0375	$ 0.1125	$ 0.0375	$ 0.1875	$ 0.1125