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Share-Based Compensation (Schedule of Assumptions Used to Estimate Fair Value of TSR Portion of Awards Granted) (Details)	3 Months Ended
	Nov. 30, 2023	Nov. 30, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Expected term (years)	5 years	5 years
Risk-free interest rate	4.80%	4.40%
Volatility	37.80%	35.70%
Dividend yield	1.20%	0.90%
Performance Stock Units [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Expected term (years)	3 years	3 years
Risk-free interest rate	4.90%	4.50%
Volatility	34.60%	38.60%
Dividend yield	1.20%	0.90%

X

- Definition

The estimated dividend rate (a percentage of the share price) to be paid (expected dividends) to holders of the underlying shares over the option's term.

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- Definition

The risk-free interest rate assumption that is used in valuing an option on its own shares.

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- Definition

Rate of weighted-average expected volatility for award under share-based payment arrangement.

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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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- Definition

Expected term of award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

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