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Income Per Share - Schedule of Computation of Basic Income Per Share (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
3 Months Ended 9 Months Ended
May 30, 2020
Feb. 29, 2020
Nov. 30, 2019
May 25, 2019
Feb. 23, 2019
Nov. 24, 2018
May 30, 2020
May 25, 2019
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]                
Net income available to shareholders $ 21,285 $ 34,680 $ 48,242 $ 47,220 $ 47,606 $ 38,320 $ 104,207 $ 133,146
Allocation of net income for Basic:                
Common stock $ 21,285     $ 47,220     $ 104,207 $ 133,146
Weighted average number of shares for Basic:                
Common stock (in shares) 18,898     19,051     18,928 19,110
Common Stock                
Allocation of net income for Basic:                
Common stock $ 17,871     $ 39,563     $ 87,519 $ 111,626
Weighted average number of shares for Basic:                
Common stock (in shares) 15,255     15,341     15,285 15,400
Income per share for Basic:                
Common stock (in dollars per share) $ 1.17     $ 2.58     $ 5.73 $ 7.25
Class B Common Stock                
Allocation of net income for Basic:                
Common stock $ 3,414     $ 7,657     $ 16,688 $ 21,520
Weighted average number of shares for Basic:                
Common stock (in shares) 3,643     3,710     3,643 3,710
Income per share for Basic:                
Common stock (in dollars per share) $ 0.94     $ 2.06     $ 4.58 $ 5.80