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Income Per Share (Calculation of Basic and Diluted Income Per Share) (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
3 Months Ended 12 Months Ended
Aug. 31, 2019
May 25, 2019
Feb. 23, 2019
Nov. 24, 2018
Aug. 25, 2018
May 26, 2018
Feb. 24, 2018
Nov. 25, 2017
Aug. 31, 2019
Aug. 25, 2018
Aug. 26, 2017
Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]                      
Net income $ 31,868 $ 36,171 $ 21,598 $ 22,161 $ 29,790 $ 32,521 $ 22,088 $ 17,958 $ 111,798 $ 102,357 $ 71,330
Weighted average common shares outstanding                 31,536 31,596 30,648
Dilutive impact of stock compensation awards                 185 218 118
Weighted average common shares outstanding, assuming dilution                 31,721 31,814 30,766
Basic income per common share $ 1.01 $ 1.15 $ 0.68 $ 0.70 $ 0.94 $ 1.03 $ 0.70 $ 0.57 $ 3.55 $ 3.24 $ 2.33
Diluted income per common share $ 1.01 $ 1.14 $ 0.68 $ 0.70 $ 0.94 $ 1.02 $ 0.69 $ 0.57 $ 3.52 $ 3.22 $ 2.32
Stock options                      
Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]                      
Anti-dilutive securities excluded from Weighted average common shares outstanding, assuming dilution                 189 62 56