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Income Per Share - Narrative (Details) - shares
3 Months Ended 9 Months Ended
May 26, 2018
May 27, 2017
May 26, 2018
May 27, 2017
Earnings Per Share [Abstract]        
Anti-dilutive securities excluded from calculation of diluted earnings per share (in shares) 3,155 12,293 1,744 6