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Common Stock and Related Matters - Schedule of Changes in Common Stock (Details) - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Common Stock [Roll Forward]      
Balance beginning of period (in shares) 54,241,069    
Balance, beginning of period $ 0.5    
Stock options exercised $ 1.2 $ 10.7 $ 2.2
Balance end of period (in shares) 54,411,186 54,241,069  
Balance end of period $ 0.5 $ 0.5  
Common Stock      
Common Stock [Roll Forward]      
Balance beginning of period (in shares) 54,200,000 54,000,000.0 53,900,000
Balance, beginning of period $ 0.5 $ 0.5 $ 0.5
Vesting of share-based payment awards (in shares) 200,000 100,000 100,000
Vesting of share-based payment awards $ 0.0 $ 0.0 $ 0.0
Stock options exercised (in shares) 100,000 100,000 100,000
Stock options exercised $ 0.0 $ 0.0 $ 0.0
Balance end of period (in shares) 54,400,000 54,200,000 54,000,000.0
Balance end of period $ 0.5 $ 0.5 $ 0.5