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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended
Nov. 30, 2020
Nov. 30, 2019
Aug. 31, 2020
Income Tax Disclosure [Abstract]      
Effective Income Tax Rate Reconciliation, Percent (54.00%) 3.60%  
Unrecognized Tax Benefits that Would Impact Effective Tax Rate $ 114.4   $ 111.3