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Common Stock and Related Matters - Narrative (Details) - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2025
Aug. 31, 2024
Aug. 31, 2023
Class of Stock [Line Items]      
Treasury stock (in shares) 24,200,000 23,800,000  
Treasury stock at original repurchase cost $ 2,649.6 $ 2,532.5  
Reacquired shares of outstanding common stock (shares) 400,000    
Maximum number of shares that may yet be purchased under the program (shares) 3,300,000    
Preferred stock authorized (in shares) 50,000,000 50,000,000.0  
Preferred stock, shares issued (in shares) 0 0  
Preferred stock, outstanding (in shares) 0 0  
Stock options      
Class of Stock [Line Items]      
Stock options (less than) excluded from diluted earnings per share (in shares) 0 0 0
Restricted stock awards and units      
Class of Stock [Line Items]      
Stock options (less than) excluded from diluted earnings per share (in shares) 0 0 0
Performance stock units      
Class of Stock [Line Items]      
Stock options (less than) excluded from diluted earnings per share (in shares) 0 0 0