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Income Per Share (Details) - USD ($)
$ / shares in Units, $ in Thousands
 3 Months Ended 6 Months Ended
Feb. 29, 2020
Feb. 23, 2019
Feb. 29, 2020
Feb. 23, 2019
Numerator        
Net income $ 17,268 $ 21,598 $ 31,336 $ 43,759
Denominator        
Weighted average common shares outstanding (in shares) 33,614,000 31,577,000 32,840,000 31,572,000
Dilutive impact of stock compensation awards (in shares) 304,000 147,000 303,000 183,000
Weighted average common shares outstanding, assuming dilution (in shares) 33,918,000 31,724,000 33,143,000 31,755,000
Basic income per common share (in dollars per share) $ 0.51 $ 0.68 $ 0.95 $ 1.39
Diluted income per common share (in dollars per share) $ 0.51 $ 0.68 $ 0.95 $ 1.38
Share-based Payment Arrangement, Option        
Denominator        
Anti-dilutive securities excluded from Weighted average common shares outstanding, assuming dilution (in shares) 45,000 243,000 94,000 212,000