Shares Repurchased and Dividends - Narrative (Details) - USD ($) $ / shares in Units, $ in Millions				3 Months Ended				6 Months Ended
	Jan. 02, 2019	Mar. 28, 2018	Mar. 27, 2018	Feb. 23, 2019	Nov. 24, 2018	Feb. 24, 2018	Nov. 25, 2017	Feb. 23, 2019
Equity, Class of Treasury Stock [Line Items]
Repurchase of common stock, value			$ 146.0
Total cost of shares repurchased divided by the total number of shares repurchased ($ / share)			$ 124.00	$ 139.57				$ 139.57
Number of shares that have been repurchased during the period.				45,000				45,000
Stock Repurchased During Period, Value	$ 100.0
Class B Common Stock
Equity, Class of Treasury Stock [Line Items]
Shares repurchased (in shares)			1,105,000
Quarterly dividend amount (in dollars per share)		$ 0.09	$ 0.03	$ 0.0900	$ 0.0900	$ 0.0300	$ 0.0300
Common Stock
Equity, Class of Treasury Stock [Line Items]
Shares repurchased (in shares)			73,000
Quarterly dividend amount (in dollars per share)		$ 0.1125	$ 0.0375	$ 0.1125	$ 0.1125	$ 0.0375	$ 0.0375