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Income Taxes (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Feb. 29, 2024 | Feb. 28, 2023 | Feb. 29, 2024 | Feb. 28, 2023 | Aug. 31, 2023
Income Tax Disclosure [Abstract] |  |  |  |  |
Effective Income Tax Rate Reconciliation, Percent | 8.30% | 6.70% | 1.30% | 4.90% |
Unrecognized Tax Benefits that Would Impact Effective Tax Rate | $ 130.4 |  | $ 130.4 |  | $ 116.0

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- Definition The total amount of unrecognized tax benefits that, if recognized, would affect the effective tax rate. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 15A -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-15A + Details
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