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Stockholders' Equity - Share Repurchases (Details) - USD ($) $ / shares in Units, $ in Millions | 3 Months Ended | 6 Months Ended |  |
--- | --- | --- | --- | ---
Apr. 30, 2021 | Jan. 31, 2021 | Apr. 30, 2020 | Apr. 30, 2021 | Apr. 30, 2020 | Mar. 31, 2017 | Dec. 31, 2011
Stockholders' Equity Note [Abstract] |  |  |  |  |  |  |
Share repurchase program, authorized amount for repurchase |  |  |  |  |  | $ 1,000.0 | $ 500.0
Treasury stock repurchase (in shares) | 0 |  |  | 69,600 | 160,800 |  |
Treasury stock repurchase |  | $ 24.8 | $ 47.8 | $ 24.8 | $ 47.8 |  |
Average repurchase price per share (in dollars per share) |  |  |  | $ 356.61 | $ 296.88 |  |
Share repurchase program, remaining authorized amount for repurchase | $ 334.8 |  |  | $ 334.8 |  |  |

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- Definition Amount of stock repurchase plan authorized. + References No definition available. + Details
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- Definition Amount remaining of a stock repurchase plan authorized. + References No definition available. + Details
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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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- Definition Number of shares that have been repurchased during the period and are being held in treasury. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=109259400&loc=d3e21463-112644 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.3-04) -URI http://asc.fasb.org/extlink&oid=120397183&loc=d3e187085-122770 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(29)) -URI http://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 + Details
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