Shareholders' Equity (Details)	12 Months Ended
	Aug. 29, 2026 USD ($) vote $ / shares shares	Aug. 30, 2025 $ / shares shares	Aug. 31, 2024 $ / shares shares	Apr. 08, 2025 USD ($)	Oct. 24, 2023 USD ($)
Equity, Class of Treasury Stock [Line Items]
Shares repurchased (in shares) | shares	194,100	402,415	139,556
Total cost of shares repurchased divided by the total number of shares repurchased (in dollars per share) | $ / shares	$ 163.18	$ 178.81	$ 170.40
Stock repurchase, remaining to repurchase outstanding shares value | $	$ 8,900,000
Maximum
Equity, Class of Treasury Stock [Line Items]
Stock repurchase authorized, value | $				$ 100,000,000.0	$ 100,000,000.0
Common Stock
Equity, Class of Treasury Stock [Line Items]
Voting rights | vote	1
Dividend rate	125.00%
Class B Common Stock
Equity, Class of Treasury Stock [Line Items]
Voting rights | vote	10
Number of shares converted (in shares) | shares	0	39,030	0