Income Per Share - Schedule of Computation of Diluted Income Per Share (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended		9 Months Ended
	May 30, 2020	May 25, 2019	May 30, 2020	May 25, 2019
Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]
As reported - Basic	$ 21,285	$ 47,220	$ 104,207	$ 133,146
As reported - Basic (in shares)	18,898	19,051	18,928	19,110
As reported – Diluted	$ 21,285	$ 47,220	$ 104,207	$ 133,146
As reported - Diluted (in shares)	18,995	19,168	19,074	19,220
As reported - Diluted (in dollars per share)	$ 1.12	$ 2.46	$ 5.46	$ 6.93
Common Stock
Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]
As reported - Basic	$ 17,871	$ 39,563	$ 87,519	$ 111,626
As reported - Basic (in shares)	15,255	15,341	15,285	15,400
As reported - Basic (in dollars per share)	$ 1.17	$ 2.58	$ 5.73	$ 7.25
Add: effect of dilutive potential common shares	$ 0	$ 0	$ 0	$ 0
Add: effect of dilutive potential common shares (in shares)	97	117	146	110
Class B Common Stock
Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]
As reported - Basic	$ 3,414	$ 7,657	$ 16,688	$ 21,520
As reported - Basic (in shares)	3,643	3,710	3,643	3,710
As reported - Basic (in dollars per share)	$ 0.94	$ 2.06	$ 4.58	$ 5.80