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Net Income Per Share (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
3 Months Ended
Dec. 01, 2018
Dec. 02, 2017
Net Income Per Share [Abstract]    
Net income as reported $ 74,232 $ 59,585
Less: Distributed net income available to participating securities (20) (34)
Less: Undistributed net income available to participating securities (33) (69)
Undistributed and distributed net income available to common shareholders 74,179 59,482
Add: Undistributed net income allocated to participating securities 33 69
Less: Undistributed net income reallocated to participating securities (33) (69)
Undistributed and distributed net income available to common shareholders $ 74,179 $ 59,482
Weighted average shares outstanding for basic net income per share 55,502 56,287
Effect of dilutive securities 329 217
Weighted average shares outstanding for diluted net income per share 55,831 56,504
Basic $ 1.34 $ 1.06
Diluted $ 1.33 $ 1.05
Potentially dilutive securities 408 957