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Share-Based Compensation (Schedule of Assumptions Used to Estimate Fair Value of TSR Portion of Awards Granted) (Details) | 12 Months Ended
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Aug. 31, 2023 | Aug. 31, 2022 | Aug. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Expected term (years) | 5 years | 5 years | 6 years
Risk-free interest rate | 4.40% | 1.20% | 0.50%
Volatility | 35.70% | 33.80% | 32.80%
Dividend yield | 0.90% | 0.90% | 1.10%
Performance Stock Units [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Expected term (years) | 3 years | 3 years | 3 years
Risk-free interest rate | 4.50% | 0.70% | 0.20%
Volatility | 38.60% | 39.10% | 38.60%
Dividend yield | 0.90% | 0.90% | 1.20%

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- 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. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (f)(2)(iii) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- Definition The risk-free interest rate assumption that is used in valuing an option on its own shares. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (f)(2)(iv) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- Definition Rate of weighted-average expected volatility for award under share-based payment arrangement. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (f)(2)(ii) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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- Definition Line items represent financial concepts included in a 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. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (f)(2)(i) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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