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. 24, 2024	Nov. 25, 2023	Feb. 25, 2023	Nov. 26, 2022	Feb. 24, 2024	Feb. 25, 2023
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]
Net income	$ 20,457	$ 42,325	$ 17,810	$ 33,957	$ 62,782	$ 51,767
Allocation of net income for Basic:
Common stock	$ 20,457		$ 17,810		$ 62,782	$ 51,767
Weighted average number of shares for Basic:
Common stock (in shares)	18,696		18,677		18,700	18,674
Common Stock
Allocation of net income for Basic:
Common stock	$ 17,188		$ 14,962		$ 52,754	$ 43,488
Weighted average number of shares for Basic:
Common stock (in shares)	15,106		15,087		15,110	15,084
Income per share for Basic:
Common stock (in dollars per share)	$ 1.14		$ 0.99		$ 3.49	$ 2.88
Class B Common Stock
Allocation of net income for Basic:
Common stock	$ 3,269		$ 2,848		$ 10,028	$ 8,279
Weighted average number of shares for Basic:
Common stock (in shares)	3,590		3,590		3,590	3,590
Income per share for Basic:
Common stock (in dollars per share)	$ 0.91		$ 0.79		$ 2.79	$ 2.31