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Stockholders' Equity (Details Textual) - $ / shares
2 Months Ended 12 Months Ended
Dec. 18, 2020
Oct. 31, 2020
Oct. 31, 2019
Oct. 31, 2018
Mar. 10, 2020
May 23, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Common Stock, Shares Authorized   400,000,000        
Common Stock, Par or Stated Value Per Share   $ 0.01        
Preferred Stock, Shares Authorized   15,000,000        
Preferred Stock, Par or Stated Value Per Share   $ 0.01        
Common Stock, Shares, Outstanding   126,500,000        
Common Stock Reserved for Outstanding Stock Options and Restricted Stock Units   5,100,000        
Preferred Stock, Shares Issued   0 0      
Common Stock, Dividends, Per Share, Declared   $ 0.44 $ 0.44      
Treasury Stock, Shares, Acquired   15,952,000 6,619,000 12,108,000    
Treasury Stock Acquired, Average Cost Per Share   $ 39.75 $ 35.28 $ 41.56    
Percentage of Ownership of Company's Common Stock for Restricts Certain Transfers   4.95%        
Subsequent Event [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Treasury Stock, Shares, Acquired 2,400,000          
Treasury Stock Acquired, Average Cost Per Share $ 45.04          
Share-based Payment Arrangement, Option [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Common Stock, Capital Shares Reserved for Future Issuance   6,700,000        
Employee Stock [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Common Stock, Capital Shares Reserved for Future Issuance   352,000        
May 2016 Repurchase Program [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Authorization to repurchase shares           20,000,000
March 2020 Repurchase Program [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Authorization to repurchase shares         20,000,000