Income Per Share - Schedule of Computation of Basic Income Per Share (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended						9 Months Ended
	May 31, 2025	Mar. 01, 2025	Nov. 30, 2024	May 25, 2024	Feb. 24, 2024	Nov. 25, 2023	May 31, 2025	May 25, 2024
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]
Net income	$ 39,680	$ 24,459	$ 43,105	$ 38,057	$ 20,457	$ 42,325	$ 107,244	$ 100,839
Allocation of net income for Basic:
Common stock	$ 39,680			$ 38,057			$ 107,244	$ 100,839
Weighted average number of shares for Basic:
Common stock (in shares)	18,547			18,652			18,570	18,684
Common Stock
Allocation of net income for Basic:
Common stock	$ 33,346			$ 31,962			$ 90,126	$ 84,716
Weighted average number of shares for Basic:
Common stock (in shares)	14,990			15,062			15,007	15,094
Income per share for Basic:
Common stock (in dollars per share)	$ 2.22			$ 2.12			$ 6.01	$ 5.61
Class B Common Stock
Allocation of net income for Basic:
Common stock	$ 6,334			$ 6,095			$ 17,118	$ 16,123
Weighted average number of shares for Basic:
Common stock (in shares)	3,557			3,590			3,563	3,590
Income per share for Basic:
Common stock (in dollars per share)	$ 1.78			$ 1.7			$ 4.80	$ 4.49