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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 |

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