Net Income Per Share - Schedule of Computation of Diluted Earnings Per Share (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended		9 Months Ended
	May 27, 2017	May 28, 2016	May 27, 2017	May 28, 2016
Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]
As reported - Basic	$ 24,362	$ 30,144	$ 75,092	$ 89,532
As reported - Basic (in shares)	20,308	20,177	20,290	20,139
Add: Undistributed earnings allocated to unvested participating shares	$ 166	$ 141	$ 523	$ 395
Less: Undistributed earnings reallocated to unvested participating shares	(157)	(134)	(496)	(374)
Diluted EPS – Common Stock	$ 24,199	$ 30,007	$ 74,581	$ 89,149
Diluted EPS – Common Stock (in shares)	20,279	20,183	20,254	20,141
Diluted EPS – Common Stock (in dollars per share)	$ 1.19	$ 1.49	$ 3.68	$ 4.43
Common Stock
Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]
As reported - Basic	$ 19,307	$ 23,939	$ 59,486	$ 71,172
As reported - Basic (in shares)	15,326	15,253	15,305	15,238
As reported - Basic (in dollars per share)	$ 1.26	$ 1.57	$ 3.89	$ 4.67
Add: effect of dilutive potential common shares	$ 0	$ 0	$ 0	$ 0
Add: effect of dilutive potential common shares (in shares)	107	103	103	98
Class B Common Stock
Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]
As reported - Basic	$ 4,883	$ 6,061	$ 15,068	$ 17,956
As reported - Basic (in shares)	4,846	4,827	4,846	4,805
As reported - Basic (in dollars per share)	$ 1.01	$ 1.26	$ 3.11	$ 3.74
Add: effect of dilutive potential common shares	$ 4,883	$ 6,061	$ 15,068	$ 17,956
Add: effect of dilutive potential common shares (in shares)	4,846	4,827	4,846	4,805