Quarterly Financial Data (Unaudited) (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands		3 Months Ended								12 Months Ended
	Mar. 27, 2018	Aug. 25, 2018	May 26, 2018	Feb. 24, 2018	Nov. 25, 2017	Aug. 26, 2017	May 27, 2017	Feb. 25, 2017	Nov. 26, 2016	Aug. 25, 2018	Aug. 26, 2017	Aug. 27, 2016
Condensed Income Statements, Captions [Line Items]
Revenues		$ 434,063	$ 427,384	$ 419,264	$ 415,778	$ 403,589	$ 409,834	$ 391,427	$ 386,108	$ 1,696,489	$ 1,590,958	$ 1,468,046
Income before income taxes		42,853	47,792	43,568	53,033	(7,677)	39,362	37,374	46,064	187,246	115,123	203,371
Provision (benefit) for income taxes		7,901	11,433	(14,810)	18,827	(2,781)	15,000	14,858	17,850	23,351	44,927	78,345
Net income		34,952	$ 36,359	58,378	$ 34,206	(4,896)	24,362	$ 22,516	$ 28,214	163,895	$ 70,196	$ 125,026
Provisional net benefit				$ 20,100						$ 20,100
Combined common stock	$ 146,000
Share price (in dollars per share)	$ 124.00
Pre-tax one time bonus expense related to tax reform		$ 7,200
Income per share – diluted
Common Stock (in dollars per share)			$ (0.25)	$ 0.98						$ 8.21	$ 3.44	$ 6.17
Income allocated to – basic
Common Stock										$ 163,895	$ 70,196	$ 125,026
Income allocated to – diluted
Common Stock										$ 163,895	$ 69,837	$ 124,409
Weighted average number of shares outstanding – Basic:
Common Stock (in shares)										19,811	20,284	20,168
Weighted average number of shares outstanding – Diluted:
Common Stock (in shares)										19,963	20,276	20,154
Machinery and Equipment
Condensed Income Statements, Captions [Line Items]
Impairment charge of capitalized costs as part of ongoing CRM systems project						$ 55,800
Income per share – diluted
Common Stock (in dollars per share)						$ (1.44)
Income allocated to – diluted
Common Stock						$ (34,100)
Mr. Croatti | Restricted Stock Award Agreement
Condensed Income Statements, Captions [Line Items]
Pre-tax loss compensation expense as a result of accelerated vesting of certain shares							$ 5,400				$ 5,400
Income per share – diluted
Common Stock (in dollars per share)							$ (0.16)
Income allocated to – diluted
Common Stock							$ (3,300)
Common Stock
Condensed Income Statements, Captions [Line Items]
Common stock and Class B common stock	73
Income per share – basic
Common Stock (in dollars per share)		$ 1.90	1.94	3.02	$ 1.77	$ (0.25)	$ 1.26	$ 1.17	$ 1.46	$ 8.66	$ 3.63	$ 6.51
Income per share – diluted
Common Stock (in dollars per share)		$ 1.81	$ 1.85	$ 2.85	$ 1.67	$ (0.24)	$ 1.19	$ 1.10	$ 1.38
Income allocated to – basic
Common Stock		$ 29,312	$ 30,034	$ 46,744	$ 27,384	$ (3,908)	$ 19,307	$ 17,836	$ 22,342	$ 133,802	$ 55,903	$ 99,282
Income allocated to – diluted
Common Stock		$ 34,952	$ 36,359	$ 58,378	$ 34,206	$ (4,886)	$ 24,199	$ 22,362	$ 28,020
Weighted average number of shares outstanding – Basic:
Common Stock (in shares)		15,429	15,446	15,481	15,462	15,402	15,326	15,305	15,285	15,454	15,382	15,245
Weighted average number of shares outstanding – Diluted:
Common Stock (in shares)		19,335	19,687	20,463	20,434	20,220	20,279	20,263	20,249
Class B Common Stock
Condensed Income Statements, Captions [Line Items]
Common stock and Class B common stock	1,105
Income per share – basic
Common Stock (in dollars per share)		$ 1.52	$ 1.55	$ 2.42	$ 1.42	$ (0.20)	$ 1.01	$ 0.93	$ 1.17	$ 6.91	$ 2.91	$ 5.21
Income allocated to – basic
Common Stock		$ 5,640	$ 6,325	$ 11,634	$ 6,822	$ (978)	$ 4,883	$ 4,518	$ 5,668	$ 30,093	$ 13,915	$ 25,093
Weighted average number of shares outstanding – Basic:
Common Stock (in shares)		3,711	4,087	4,816	4,816	4,818	4,846	4,846	4,847	4,357	4,786	4,816