Shareholders' Equity - Narrative (Details)		12 Months Ended
	Oct. 29, 2024 $ / shares	Aug. 31, 2024 USD ($) $ / shares shares	Aug. 26, 2023 $ / shares shares	Aug. 27, 2022 $ / shares shares	Aug. 31, 2019 Vote	Oct. 24, 2023 USD ($)
Class Of Stock [Line Items]
Shares repurchased (in shares) | shares		139,556		213,419
Total cost of shares repurchased divided by the total number of shares repurchased		$ 170.4		$ 179.98
Stock repurchase, remaining to repurchase outstanding shares value | $		$ 76,200,000
Maximum
Class Of Stock [Line Items]
Stock repurchase authorized, Value | $						$ 100,000,000.0
Common Stock
Class Of Stock [Line Items]
Voting rights | Vote					1
Dividend rate					125.00%
Common Stock | O 2023 Q4 Dividends
Class Of Stock [Line Items]
Quarterly dividend amount (in dollars per share)			$ 0.33
Class B Common Stock
Class Of Stock [Line Items]
Voting rights | Vote					10
Number of shares converted (in shares) | shares		0	0	17,000
Class B Common Stock | O 2023 Q4 Dividends
Class Of Stock [Line Items]
Quarterly dividend amount (in dollars per share)			$ 0.264
Subsequent Event | Common Stock | O 2024 Q4 Dividends
Class Of Stock [Line Items]
Quarterly dividend amount (in dollars per share)	$ 0.35
Dividends payable date	Jan. 03, 2025
Dividends payable, date of record	Dec. 06, 2024
Subsequent Event | Class B Common Stock | O 2024 Q4 Dividends
Class Of Stock [Line Items]
Quarterly dividend amount (in dollars per share)	$ 0.28
Dividends payable date	Jan. 03, 2025
Dividends payable, date of record	Dec. 06, 2024