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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
Income Tax Disclosure [Abstract]        
U.S. federal statutory income tax rate 21.00% 21.00% 21.00% 21.00%
Effective income tax rate 20.30% 465.00% 26.00% 108.30%
Income tax expense associated with remeasurement of referred tax assets   $ 21.2