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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
May 31, 2021
May 31, 2020
May 31, 2021
May 31, 2020
Aug. 31, 2020
Income Tax Disclosure [Abstract]          
Effective Income Tax Rate Reconciliation, Percent (6.80%) (38.40%) (3.40%) (4.80%)  
Unrecognized Tax Benefits that Would Impact Effective Tax Rate $ 136.1   $ 136.1   $ 111.3