Income Per Share - Schedule of Computation of Basic Income Per Share (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended				6 Months Ended
	Feb. 26, 2022	Nov. 27, 2021	Feb. 27, 2021	Nov. 28, 2020	Feb. 26, 2022	Feb. 27, 2021
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]
Net income available to shareholders	$ 18,451	$ 33,705	$ 32,585	$ 41,896	$ 52,156	$ 74,481
Allocation of net income for Basic:
Net income allocated for common stockholder basic	$ 18,451		$ 32,585		$ 52,156	$ 74,481
Weighted average number of shares for Basic:
Common stock (in shares)	18,845		18,866		18,860	18,878
Common Stock
Allocation of net income for Basic:
Net income allocated for common stockholder basic	$ 15,492		$ 27,349		$ 43,792	$ 62,520
Weighted average number of shares for Basic:
Common stock (in shares)	15,210		15,223		15,225	15,235
Income per share for Basic:
Common stock (in dollars per share)	$ 1.02		$ 1.80		$ 2.88	$ 4.10
Class B Common Stock
Allocation of net income for Basic:
Net income allocated for common stockholder basic	$ 2,959		$ 5,236		$ 8,364	$ 11,961
Weighted average number of shares for Basic:
Common stock (in shares)	3,635		3,643		3,635	3,643
Income per share for Basic:
Common stock (in dollars per share)	$ 0.81		$ 1.44		$ 2.30	$ 3.28