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Stockholders' Equity (Share Repurchases) (Details) - USD ($) | 3 Months Ended | 12 Months Ended |  |
--- | --- | --- | --- | ---
Jan. 31, 2019 | Oct. 31, 2018 | Mar. 01, 2017 | Feb. 28, 2017
Equity [Abstract] |  |  |  |
Share Repurchase Program, maximum amount authorized |  |  | $ 1,000,000,000.0 | $ 500,000,000.0
Average purchase price (in usd per share) | $ 248.70 |  |  |
Number of common stock repurchased, shares | 25,000 | 0 |  |
Treasury Stock, Value, Acquired, Cost Method | $ 6,100,000 |  |  |
Share Repurchase Program, remaining authorized amount | $ 557,400,000 |  |  |

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