Summary of Significant Accounting Policies - Schedule of Computation of Diluted Income Per Share (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended								12 Months Ended
	Aug. 29, 2020	May 30, 2020	Feb. 29, 2020	Nov. 30, 2019	Aug. 31, 2019	May 25, 2019	Feb. 23, 2019	Nov. 24, 2018	Aug. 29, 2020	Aug. 31, 2019	Aug. 25, 2018
Earnings Per Share Diluted [Line Items]
As reported—Basic									$ 135,770	$ 179,134	$ 163,895
As reported - Basic (in shares)									18,919	19,082	19,811
Common Stock									$ 135,770	$ 179,134	$ 163,895
Common stock (in shares)									19,042	19,196	19,963
Diluted Income Per Share – Common Stock (in dollars per share)									$ 7.13	$ 9.33	$ 8.21
Common Stock
Earnings Per Share Diluted [Line Items]
As reported—Basic	$ 26,499	$ 17,871	$ 29,129	$ 40,526	$ 38,619	$ 39,563	$ 39,923	$ 32,137	$ 114,017	$ 150,247	$ 133,802
As reported - Basic (in shares)	15,250	15,255	15,293	15,308	15,340	15,341	15,428	15,432	15,276	15,385	15,454
As reported - Basic (in dollars per share)	$ 1.74	$ 1.17	$ 1.90	$ 2.65	$ 2.52	$ 2.58	$ 2.59	$ 2.08	$ 7.46	$ 9.77	$ 8.66
Add: effect of dilutive potential common shares									$ 0	$ 0	$ 0
Common Stock	$ 31,563	$ 21,285	$ 34,680	$ 48,242	$ 45,988	$ 47,220	$ 47,606	$ 38,320
Add: effect of dilutive potential common shares (in shares)									123	114	152
Common stock (in shares)	19,019	18,995	19,105	19,123	19,159	19,168	19,232	19,302
Diluted Income Per Share – Common Stock (in dollars per share)	$ 1.66	$ 1.12	$ 1.82	$ 2.52	$ 2.40	$ 2.46	$ 2.48	$ 1.99
Class B Common Stock
Earnings Per Share Diluted [Line Items]
As reported—Basic	$ 5,064	$ 3,414	$ 5,551	$ 7,716	$ 7,369	$ 7,657	$ 7,683	$ 6,183	$ 21,753	$ 28,887	$ 30,093
As reported - Basic (in shares)	3,643	3,643	3,643	3,643	3,659	3,710	3,710	3,710	3,643	3,697	4,357
As reported - Basic (in dollars per share)	$ 1.39	$ 0.94	$ 1.52	$ 2.12	$ 2.01	$ 2.06	$ 2.07	$ 1.67	$ 5.97	$ 7.81	$ 6.91