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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 9 Months Ended
May 27, 2017
May 28, 2016
May 27, 2017
May 28, 2016
Earnings Per Share [Abstract]        
Net income $ 19,391 $ 14,438 $ 46,407 $ 32,350
Weighted average shares outstanding 31,587 26,892 30,333 26,935
Net income per share - basic (in dollars per share) $ 0.61 $ 0.54 $ 1.53 $ 1.20
Dilutive impact of awards and options outstanding 104 112 115 94
Weighted average shares and potential dilutive shares outstanding 31,691 27,004 30,448 27,029
Net income per share - assuming dilution (in dollars per share) $ 0.61 $ 0.53 $ 1.52 $ 1.20