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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
May 31, 2020
May 31, 2019
May 31, 2020
May 31, 2019
Aug. 31, 2019
Income Tax Disclosure [Abstract]          
Effective Income Tax Rate Reconciliation, Percent (38.40%) 11.10% (4.80%) 5.90%  
Unrecognized Tax Benefits that Would Impact Effective Tax Rate $ 111.1   $ 111.1   $ 93.3