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Stockholders' Equity - Share Repurchases (Details) - USD ($) $ / shares in Units, $ in Millions | 12 Months Ended
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Oct. 31, 2021 | Oct. 31, 2020 | Oct. 31, 2019
Stockholders' Equity Note [Abstract] |  |  |
Number of shares | 69,622 | 160,850 |
Average repurchase price per share (in dollars per share) | $ 356.6 | $ 296.9 |
Total costs of shares repurchased (in millions) | $ 24.8 | $ 47.8 | $ 156.1

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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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