Shareholders' Equity - Narrative (Details) $ / shares in Units, $ in Millions			12 Months Ended
	Mar. 28, 2018 $ / shares	Mar. 27, 2018 USD ($) $ / shares shares	Aug. 25, 2018 vote $ / shares shares	Aug. 26, 2017 $ / shares	Aug. 27, 2016 $ / shares
Class of Stock [Line Items]
Combined common stock | $		$ 146.0
Share price (in dollars per share) | $ / shares		$ 124.00
Class B Common Stock
Class of Stock [Line Items]
Common stock and Class B common stock | shares		1,105,000
Quarterly dividend (in dollars per share) | $ / shares	$ 0.09	$ 0.03	$ 0.24	$ 0.12	$ 0.12
Voting rights | vote			10
Number of shares converted (in shares) | shares			0
Common Stock
Class of Stock [Line Items]
Common stock and Class B common stock | shares		73,000
Quarterly dividend (in dollars per share) | $ / shares	$ 0.1125	$ 0.0375	$ 0.3	$ 0.15	$ 0.15
Voting rights | vote			1
Dividend rate			125.00%