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Shareholders' Equity (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 6 Months Ended
Jan. 31, 2022
Jan. 31, 2021
Jan. 31, 2022
Jan. 31, 2021
Stockholders' Equity Note [Abstract]        
Number of shares authorized to be repurchased (in shares) 13,000,000   13,000,000  
Stock repurchased during the period (in shares)     1,800,000  
Stock repurchased during the period     $ 115.6 $ 46.3
Shares with remaining authorization for repurchase under stock repurchase plan (in shares) 6,500,000   6,500,000  
Dividends paid per share (in usd per share) $ 0.22 $ 0.21 $ 0.44 $ 0.42