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Shareholders' Equity (Narrative) (Details) - USD ($)
$ in Millions
12 Months Ended
Nov. 15, 2019
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2020
Class of Stock [Line Items]        
Shares of preferred stock authorized for issuance   14,000,000.0    
Preferred stock issued   0 0  
Preferred stock outstanding   0 0  
Shares withheld for tax   86,125    
Shares withheld for tax, fair value   $ 3.5    
Number of shares purchased   499,411    
Number of shares withheld for minimum statutory taxes       109,896
Values of shares withheld for minimum statutory taxes       $ 3.7
Stock repurchased during period, shares 40,000,000.0      
Common Stock [Member]        
Class of Stock [Line Items]        
Shares withheld for tax     147,092  
Shares withheld for tax, fair value     $ 3.0  
Treasury Stock Open Market Purchases [Member]        
Class of Stock [Line Items]        
Purchase of treasury shares   $ 20.3