Income Per Share - Schedule of Computation of Basic Income Per Share (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended		9 Months Ended
	May 26, 2018	May 27, 2017	May 26, 2018	May 27, 2017
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]
Net income available to shareholders	$ 36,359	$ 24,362	$ 128,943	$ 75,092
Allocation of net income for Basic:
Common Stock	$ 36,359	$ 24,362	$ 128,943	$ 75,092
Weighted average number of shares for Basic:
Common Stock (in shares)	19,533	20,308	20,036	20,290
Common Stock
Allocation of net income for Basic:
Common Stock	$ 30,034	$ 19,307	$ 104,324	$ 59,486
Weighted average number of shares for Basic:
Common Stock (in shares)	15,446	15,326	15,463	15,305
Income per share for Basic:
Common Stock (in dollars per share)	$ 1.94	$ 1.26	$ 6.75	$ 3.89
Class B Common Stock
Allocation of net income for Basic:
Common Stock	$ 6,325	$ 4,883	$ 24,619	$ 15,068
Weighted average number of shares for Basic:
Common Stock (in shares)	4,087	4,846	4,573	4,846
Income per share for Basic:
Common Stock (in dollars per share)	$ 1.55	$ 1.01	$ 5.38	$ 3.11
Unvested participating shares
Allocation of net income for Basic:
Common Stock	$ 0	$ 172	$ 0	$ 538
Weighted average number of shares for Basic:
Common Stock (in shares)	0	136	0	139