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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 28, 2021
Feb. 29, 2020
Feb. 28, 2021
Feb. 29, 2020
Aug. 31, 2020
Income Tax Disclosure [Abstract]          
Effective Income Tax Rate Reconciliation, Percent (473.40%) 1.70% 19.10% 2.80%  
Unrecognized Tax Benefits that Would Impact Effective Tax Rate $ 129.8   $ 129.8   $ 111.3