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Net Income Per Share - Narrative (Details) - shares
3 Months Ended 9 Months Ended
May 27, 2017
May 28, 2016
May 27, 2017
May 28, 2016
Earnings Per Share [Abstract]        
Anti-dilutive securities excluded from calculation of diluted earnings per share (in shares) 12,293 14,959 6 6,716