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Shareholders' Equity (Details) - USD ($)
$ / shares in Units, $ in Millions
6 Months Ended
Jan. 26, 2018
Jan. 31, 2018
Jan. 31, 2017
Stockholders' Equity Note [Abstract]      
Number of shares authorized to be repurchased (in shares)   14,000,000.0  
Stock repurchased during the period (in shares)   1,300,000  
Stock repurchased during the period (in USD per share)   $ 62.9 $ 51.8
Shares with remaining authorization for repurchase under stock repurchase plan (in shares)   5,800,000  
Cash dividend declared per common share (in USD per share) $ 0.180