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Income Per Share Income Per Share (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
3 Months Ended 6 Months Ended
Feb. 23, 2019
Feb. 24, 2018
Feb. 23, 2019
Feb. 24, 2018
Income Per Share        
Net income $ 21,598 $ 22,088 $ 43,759 $ 40,046
Weighted average shares outstanding 31,577 31,654 31,572 31,634
Dilutive impact of awards and options outstanding 147 200 183 218
Weighted average shares and potential dilutive shares outstanding 31,724 31,854 31,755 31,852
Net income per share - basic (in dollars per share) $ 0.68 $ 0.70 $ 1.39 $ 1.27
Net income per share - assuming dilution (in dollars per share) $ 0.68 $ 0.69 $ 1.38 $ 1.26
Employee Stock Option [Member]        
Income Per Share        
Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount 243 73 212 73