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. 25, 2023	Nov. 26, 2022	Feb. 26, 2022	Nov. 27, 2021	Feb. 25, 2023	Feb. 26, 2022
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]
Net income available to shareholders	$ 17,810	$ 33,957	$ 18,451	$ 33,705	$ 51,767	$ 52,156
Allocation of net income for Basic:
Common Stock	$ 17,810		$ 18,451		$ 51,767	$ 52,156
Weighted average number of shares for Basic:
Common stock (in shares)	18,677		18,845		18,674	18,860
Common Stock
Allocation of net income for Basic:
Common Stock	$ 14,962		$ 15,492		$ 43,488	$ 43,792
Weighted average number of shares for Basic:
Common stock (in shares)	15,087		15,210		15,084	15,225
Income per share for Basic:
Common stock (in dollars per share)	$ 0.99		$ 1.02		$ 2.88	$ 2.88
Class B Common Stock
Allocation of net income for Basic:
Common Stock	$ 2,848		$ 2,959		$ 8,279	$ 8,364
Weighted average number of shares for Basic:
Common stock (in shares)	3,590		3,635		3,590	3,635
Income per share for Basic:
Common stock (in dollars per share)	$ 0.79		$ 0.81		$ 2.31	$ 2.30