Quarterly Financial Data (Unaudited) - Schedule of Quarterly Financial Information (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
Condensed Income Statements, Captions [Line Items]
Revenues	$ 428,643	$ 445,518	$ 464,600	$ 465,398	$ 479,621	$ 453,720	$ 437,485	$ 438,550	$ 1,804,159	$ 1,809,376	$ 1,696,489
Income before income taxes	42,991	27,206	45,763	61,928	60,870	61,700	63,395	51,959	177,888	237,924	187,246
Provision (benefit) for income taxes	11,428	5,921	11,083	13,686	14,882	14,480	15,789	13,639	42,118	58,790	23,351
Net income	$ 31,563	$ 21,285	$ 34,680	$ 48,242	$ 45,988	$ 47,220	$ 47,606	$ 38,320	$ 135,770	$ 179,134	$ 163,895
Income per share—diluted
Common stock (in dollars per share)									$ 7.13	$ 9.33	$ 8.21
Income allocated to—Basic:
Common stock									$ 135,770	$ 179,134	$ 163,895
Income allocated to—diluted
Common Stock									$ 135,770	$ 179,134	$ 163,895
Weighted average number of shares outstanding—Basic:
Common stock (in shares)									18,919	19,082	19,811
Weighted average number of shares outstanding—diluted
Common stock (in shares)									19,042	19,196	19,963
Common Stock
Income per share—Basic:
Common stock (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
Income per share—diluted
Common stock (in dollars per share)	$ 1.66	$ 1.12	$ 1.82	$ 2.52	$ 2.40	$ 2.46	$ 2.48	$ 1.99
Income allocated to—Basic:
Common stock	$ 26,499	$ 17,871	$ 29,129	$ 40,526	$ 38,619	$ 39,563	$ 39,923	$ 32,137	$ 114,017	$ 150,247	$ 133,802
Income allocated to—diluted
Common Stock	$ 31,563	$ 21,285	$ 34,680	$ 48,242	$ 45,988	$ 47,220	$ 47,606	$ 38,320
Weighted average number of shares outstanding—Basic:
Common stock (in shares)	15,250	15,255	15,293	15,308	15,340	15,341	15,428	15,432	15,276	15,385	15,454
Weighted average number of shares outstanding—diluted
Common stock (in shares)	19,019	18,995	19,105	19,123	19,159	19,168	19,232	19,302
Class B Common Stock
Income per share—Basic:
Common stock (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
Income allocated to—Basic:
Common stock	$ 5,064	$ 3,414	$ 5,551	$ 7,716	$ 7,369	$ 7,657	$ 7,683	$ 6,183	$ 21,753	$ 28,887	$ 30,093
Weighted average number of shares outstanding—Basic:
Common stock (in shares)	3,643	3,643	3,643	3,643	3,659	3,710	3,710	3,710	3,643	3,697	4,357