Income 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 26, 2018	May 27, 2017	May 26, 2018	May 27, 2017
Earnings Per Share [Abstract]
Net income	$ 32,521	$ 19,391	$ 72,567	$ 46,407
Weighted average shares outstanding	31,582	31,587	31,617	30,333
Net income per share - basic (in dollars per share)	$ 1.03	$ 0.61	$ 2.30	$ 1.53
Dilutive impact of awards and options outstanding	171	104	208	115
Weighted average shares and potential dilutive shares outstanding	31,753	31,691	31,825	30,448
Net income per share - assuming dilution (in dollars per share)	$ 1.02	$ 0.61	$ 2.28	$ 1.52