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Net Income Per Share - Additional Information (Details) - shares
3 Months Ended 6 Months Ended
Feb. 28, 2022
Feb. 28, 2021
Feb. 28, 2022
Feb. 28, 2021
Earnings Per Share [Abstract]        
Antidilutive securities excluded from computation of earnings per share, amount (in shares) 311,736 0 199,786 103,566