Amount of cost not yet recognized for nonvested award under share-based payment arrangement.

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The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

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Percentage of vesting of award under share-based payment arrangement.

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Period from grant date that an equity-based award expires, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Share-based Compensation - Narrative (Details) - USD ($) $ / shares in Units, $ in Millions		12 Months Ended
	Oct. 27, 2014	Aug. 27, 2022	Aug. 28, 2021	Aug. 29, 2020	Oct. 30, 2010	Nov. 30, 1996
Stock Appreciation Rights (SARs)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Percentage vested after each anniversary of the grant date		20.00%
Expiration period		10 years
Weighted average fair values of Share-Based Awards granted (in dollars per share)		$ 51.25	$ 42.63	$ 46.58
Stock Appreciation Rights (SARs) \| Cliff Vesting
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Period awards become fully vested or exercisable		5 years
Share-Based Awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total compensation cost not yet recognized related to non-vested awards		$ 14.4
Period for recognition		1 year 6 months
Time-Based Restricted Stock Units
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Percentage vested after each anniversary of the grant date		20.00%
Non-Employee Directors \| Unrestricted Stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares granted (in shares)		1,025	0	0
The 1996 Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of shares reserved for issuance (in shares)						1,500,000
The 2010 Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of shares reserved for issuance (in shares)					600,000
Number of additional shares reserved for issuance (in shares)	750,000
Shares available for future grants (in shares)		173,581
The 2010 Plan \| Non-Employee Directors \| Stock Appreciation Rights (SARs)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares granted (in shares)		9,750	5,000	5,000