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Earnings Per Share - Narrative (Details) - shares
3 Months Ended 6 Months Ended
Feb. 28, 2023
Feb. 28, 2022
Feb. 28, 2023
Feb. 28, 2022
Stock options        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Antidilutive securities excluded from computation of earnings per share (in shares) 543,082 0 543,082 0
PSUs        
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]        
Antidilutive securities excluded from computation of earnings per share (in shares) 93,308 95,865 93,308 95,865