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Stockholders' Equity - Share Repurchases (Details) - USD ($) $ / shares in Units, $ in Millions | 3 Months Ended |  |
--- | --- | --- | ---
Jan. 31, 2021 | Jan. 31, 2020 | Mar. 31, 2017 | Dec. 31, 2011
Stockholders' Equity Note [Abstract] |  |  |  |
Share repurchase program, authorized amount for repurchase |  |  | $ 1,000.0 | $ 500.0
Share repurchase program, remaining authorized amount for repurchase | $ 334.8 |  |  |
Treasury stock repurchase (in shares) | 69,600 | 0 |  |
Treasury stock repurchase | $ 24.8 |  |  |
Average repurchase price per share (in dollars per share) | $ 356.61 |  |  |

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- Definition Total cost of shares repurchased divided by the total number of shares repurchased. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 30 -Section 45 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=6405813&loc=d3e23239-112655 + Details
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