Share-Based Payments - Additional Information (Detail) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended	6 Months Ended
Feb. 12, 2022	Feb. 13, 2021	Feb. 12, 2022	Feb. 13, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock options granted			164,262	196,161
Weighted average grant date fair value of options granted			$ 463.09	$ 299.86
Stock options exercised - shares			123,216	138,705
Stock options exercised - weighted average exercise price			$ 584.81	$ 484.13
Estimated weighted average period			2 years 1 month 6 days
Share-based compensation expense	$ 16.4	$ 13.7	$ 30.7	$ 24.2
Unrecognized share-based compensation expense related to stock options, net of forfeitures	85.2		$ 85.2
Restricted Stock Units (RSUs)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Service period			4 years
Non vested restricted stock unit award	$ 14.1		$ 14.1
Estimated weighted average period			2 years 8 months 12 days
Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Anti-dilutive shares excluded from the computation of earnings per share	162,955	196,280	128,399	248,578

Securities (including those issuable pursuant to contingent stock agreements) that could potentially dilute basic earnings per share (EPS) or earnings per unit (EPU) in the future that were not included in the computation of diluted EPS or EPU because to do so would increase EPS or EPU amounts or decrease loss per share or unit amounts for the period presented.

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 260
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Amount of cost to be recognized for option under share-based payment arrangement.

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Estimated period over which an employee is required to provide service in exchange for the equity-based payment award, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Weighted average remaining contractual term for equity-based awards excluding options, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Net number of share options (or share units) granted during the period.

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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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Weighted average price at which option holders acquired shares when converting their stock options into shares.

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Amount of cost expensed and capitalized for award under share-based payment arrangement.

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Intrinsic value of nonvested award under share-based payment arrangement. Excludes share and unit options.

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Number of share options (or share units) exercised during the current period.

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