Summary of Significant Accounting Policies - Schedule of Computation of Diluted Income Per Share (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	12 Months Ended
	Aug. 29, 2026	Aug. 30, 2025	Aug. 31, 2024
Earnings Per Share Diluted [Line Items]
As reported—Basic	$ 109,490	$ 148,271	$ 145,474
Diluted Income Per Share— Common Stock	$ 109,490	$ 148,271	$ 145,474
As reported - Basic (in shares)	18,096	18,521	18,663
Diluted Income Per Share - Common Stock (in shares)	18,196	18,581	18,724
Diluted Income Per Share - Common Stock (in dollars per share)	$ 6.02	$ 7.98	$ 7.77
Common Stock
Earnings Per Share Diluted [Line Items]
As reported—Basic	$ 91,595	$ 124,551	$ 122,188
Add: effect of dilutive potential common shares	$ 0	$ 0	$ 0
As reported - Basic (in shares)	14,545	14,961	15,073
Add: effect of dilutive potential common shares (in shares)	100	60	61
As reported - Basic (in dollars per share)	$ 6.30	$ 8.33	$ 8.11
Class B Common Stock
Earnings Per Share Diluted [Line Items]
As reported—Basic	$ 17,895	$ 23,720	$ 23,286
As reported - Basic (in shares)	3,551	3,560	3,590
As reported - Basic (in dollars per share)	$ 5.04	$ 6.66	$ 6.49