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Shareholders' Equity (Details) - USD ($)
$ / shares in Units, $ in Millions
9 Months Ended
May 29, 2020
Apr. 30, 2020
Apr. 30, 2019
Jul. 31, 2019
Class of Stock        
Number of shares authorized to be repurchased (in shares)       13,000,000.0
Stock repurchased during the period (in shares)   2,000,000.0    
Stock repurchased during the period   $ 94.3 $ 104.4  
Shares with remaining authorization for repurchase under stock repurchase plan (in shares)   10,700,000    
Dividends paid per share (in usd per share)   $ 0.630 $ 0.570  
Subsequent Event        
Class of Stock        
Dividends paid per share (in usd per share) $ 0.210