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Income Taxes - Additional Information (Details)
3 Months Ended 9 Months Ended
May 31, 2022
May 31, 2021
May 31, 2022
May 31, 2021
Income Tax Disclosure [Abstract]        
Effective tax rate 21.00% 18.00% 21.20% 20.00%
Federal statutory rate 21.00%   21.00%