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Earnings Per Share (Calculation of Basic and Diluted Income Per Share) (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
3 Months Ended 6 Months Ended
Feb. 24, 2018
Feb. 25, 2017
Feb. 24, 2018
Feb. 25, 2017
Earnings Per Share [Abstract]        
Net income $ 22,088 $ 15,278 $ 40,046 $ 27,016
Weighted average shares outstanding 31,654 31,577 31,634 29,707
Net income per share - basic (in dollars per share) $ 0.70 $ 0.48 $ 1.27 $ 0.91
Dilutive impact of awards and options outstanding 200 109 218 120
Weighted average shares and potential dilutive shares outstanding 31,854 31,686 31,852 29,827
Net income per share - assuming dilution (in dollars per share) $ 0.69 $ 0.48 $ 1.26 $ 0.91