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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 29, 2020
Feb. 28, 2019
Feb. 29, 2020
Feb. 28, 2019
Aug. 31, 2019
Income Tax Disclosure [Abstract]          
Effective Income Tax Rate Reconciliation, Percent 1.70% 5.20% 2.80% 5.40%  
Unrecognized Tax Benefits that Would Impact Effective Tax Rate $ 102.3   $ 102.3   $ 93.3