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Income Taxes (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Feb. 28, 2022 | Feb. 28, 2021 | Feb. 28, 2022 | Feb. 28, 2021 | Aug. 31, 2021
Income Tax Disclosure [Abstract] |  |  |  |  |
Effective Income Tax Rate Reconciliation, Percent | 5.20% | (473.40%) | 3.80% | 19.10% |
Unrecognized Tax Benefits that Would Impact Effective Tax Rate | $ 114.6 |  | $ 114.6 |  | $ 114.3

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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 http://asc.fasb.org/extlink&oid=121826272&loc=SL6600010-109319 + Details
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