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Common Stock and Related Matters - Schedule of Changes in Common Stock (Details) - USD ($)
shares in Millions, $ in Millions
 12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Common Stock [Roll Forward]      
Balance beginning of period (in shares) 54.4    
Balance, beginning of period $ 0.5    
Stock options exercised $ 12.0 $ 1.2 $ 10.7
Balance end of period (in shares) 54.6 54.4  
Balance end of period $ 0.5 $ 0.5  
Common Stock      
Common Stock [Roll Forward]      
Balance beginning of period (in shares) 54.4 54.2 54.0
Balance, beginning of period $ 0.5 $ 0.5 $ 0.5
Vesting of share-based payment awards (in shares) 0.1 0.2 0.1
Vesting of share-based payment awards $ 0.0 $ 0.0 $ 0.0
Stock options exercised (in shares) 0.1 0.1 0.1
Stock options exercised $ 0.0 $ 0.0 $ 0.0
Balance end of period (in shares) 54.6 54.4 54.2
Balance end of period $ 0.5 $ 0.5 $ 0.5