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Net Income Per Share - Additional Information (Details) - shares
3 Months Ended 9 Months Ended
May 31, 2022
May 31, 2021
May 31, 2022
May 31, 2021
Earnings Per Share [Abstract]        
Antidilutive securities excluded from computation of earnings per share, amount (in shares) 47,095 0 172,288 0