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Income Taxes (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended |
--- | --- | --- | ---
May 31, 2023 | May 31, 2022 | May 31, 2023 | May 31, 2022 | Aug. 31, 2022
Income Tax Disclosure [Abstract] |  |  |  |  |
Effective Income Tax Rate Reconciliation, Percent | 1.90% | 9.80% | 3.90% | 6.70% |
Unrecognized Tax Benefits that Would Impact Effective Tax Rate | $ 115.7 |  | $ 115.7 |  | $ 115.1

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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 -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15A -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=121826272&loc=SL6600010-109319 + Details
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