Shares Repurchased and Dividends - Narrative (Details) - USD ($)			3 Months Ended						9 Months Ended
	Oct. 20, 2021	Oct. 23, 2019	May 28, 2022	Feb. 26, 2022	Nov. 27, 2021	May 29, 2021	Feb. 27, 2021	Nov. 28, 2020	May 28, 2022	May 29, 2021	Oct. 18, 2021	Jan. 02, 2019
Equity, Class of Treasury Stock [Line Items]
Shares repurchased (in shares)			90,394			0			165,644	53,200
Total cost of shares repurchased divided by the total number of shares repurchased			$ 173.55						$ 183.85	$ 179.21
Stock repurchase remaining amount			$ 71,600,000						$ 71,600,000
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	$ 0.24	$ 0.20	$ 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	$ 0.30	$ 0.25	$ 0.25	$ 0.25