Shareholders' Equity - Narrative (Details)					12 Months Ended
	Oct. 24, 2023 USD ($) $ / shares	Oct. 25, 2022 $ / shares	Jul. 15, 2022 USD ($) $ / shares shares	Oct. 20, 2021 $ / shares	Aug. 26, 2023 USD ($) shares	Aug. 27, 2022 $ / shares shares	Aug. 28, 2021 $ / shares shares	Aug. 31, 2019 Vote
Class Of Stock [Line Items]
Shares repurchased (in shares) | shares						213,419	60,950
Total cost of shares repurchased divided by the total number of shares repurchased						$ 179.98	$ 184.13
Stock repurchase, remaining to repurchase outstanding shares value | $					$ 63,600,000
Common Stock
Class Of Stock [Line Items]
Voting rights | Vote								1
Dividend rate								125.00%
Quarterly dividend amount (in dollars per share)		$ 0.31		$ 0.30
Class B Common Stock
Class Of Stock [Line Items]
Voting rights | Vote								10
Number of shares converted (in shares) | shares					0	17,000	0
Quarterly dividend amount (in dollars per share)		$ 0.248		$ 0.24
Shares repurchased (in shares) | shares			35,714
Total cost of shares repurchased divided by the total number of shares repurchased			$ 168
Shares repurchased, Value | $			$ 6,000,000
Subsequent Event | Maximum
Class Of Stock [Line Items]
Stock repurchase authorized, Value | $	$ 100,000,000.0
Subsequent Event | Common Stock
Class Of Stock [Line Items]
Quarterly dividend amount (in dollars per share)	$ 0.33
Subsequent Event | Class B Common Stock
Class Of Stock [Line Items]
Quarterly dividend amount (in dollars per share)	$ 0.264