Quarterly Financial Data (Unaudited) - Schedule of Quarterly Financial Information (Parenthetical) (Details) - USD ($) $ / shares in Units, $ in Millions			3 Months Ended						12 Months Ended
	Jan. 02, 2019	Mar. 27, 2018	Aug. 31, 2019	May 25, 2019	Feb. 23, 2019	Aug. 25, 2018	May 26, 2018	Feb. 24, 2018	Aug. 31, 2019	Aug. 25, 2018	Aug. 26, 2017
Condensed Income Statements, Captions [Line Items]
Shares repurchased (in shares)			52,650	99,500	45,000				197,150
Share price (in dollars per share)		$ 124.00	$ 181.61	$ 147.47	$ 139.57				$ 154.78
Impairment charge of capitalized costs as part of ongoing CRM systems project										$ 55.8	$ 55.8
Gain (Loss) Related to Litigation Settlement					$ 21.1				$ 21.1
One-time cash payment received for sale of CRM system					13.0				13.0
Hardware received at fair value					$ 0.8				$ 0.8
Diluted earnings per share on settlement agreement of CRM system									$ 0.81
Provisional net benefit								$ 20.1		$ (20.1)
Diluted earnings per share on re-measurement of deferred tax balances								$ 0.98
Combined common stock	$ 100.0	$ 146.0
Pre-tax one time bonus expense related to tax reform						$ 7.2
Diluted loss per share on pre-tax one-time employee bonus							$ 0.25
Class B Common Stock
Condensed Income Statements, Captions [Line Items]
Shares repurchased (in shares)		1,105,000
Common Stock
Condensed Income Statements, Captions [Line Items]
Shares repurchased (in shares)		73,000