Shares Repurchased and Dividends - Narrative (Details) - USD ($)			3 Months Ended				6 Months Ended
	Oct. 20, 2021	Oct. 23, 2019	Feb. 26, 2022	Nov. 27, 2021	Feb. 27, 2021	Nov. 28, 2020	Feb. 26, 2022	Feb. 27, 2021	Oct. 18, 2021	Jan. 02, 2019
Equity, Class of Treasury Stock [Line Items]
Shares repurchased (in shares)			52,500		12,200		75,250	53,200
Total cost of shares repurchased divided by the total number of shares repurchased			$ 190.37		$ 189.96		$ 167.54	$ 179.21
Stock repurchase remaining amount			$ 87,300,000				$ 87,300,000
Maximum
Equity, Class of Treasury Stock [Line Items]
Stock repurchase authorized, Value									$ 100,000,000.0	$ 100,000,000.0
Class B Common Stock
Equity, Class of Treasury Stock [Line Items]
Quarterly dividend amount (in dollars per share)	$ 0.24	$ 0.20	$ 0.24	$ 0.24	0.20	$ 0.20
Common Stock
Equity, Class of Treasury Stock [Line Items]
Quarterly dividend amount (in dollars per share)	$ 0.30	$ 0.25	$ 0.30	$ 0.30	$ 0.25	$ 0.25