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Share-Based Compensation Plans - Schedule of Compensation Expense and Related Income Tax Benefit for Share-Based Awards (Details) - USD ($) $ in Millions | 3 Months Ended
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Jan. 31, 2020 | Jan. 31, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |
Total share-based compensation expense | $ 10.3 | $ 11.7
Related income tax benefit | 1.4 | 1.7
Selling, general and administrative expense |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |
Total share-based compensation expense | 8.7 | 9.3
Cost of sales |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |
Total share-based compensation expense | 1.0 | 1.5
Research and development expense |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |
Total share-based compensation expense | $ 0.6 | $ 0.9

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- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5047-113901 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 14.F) -URI http://asc.fasb.org/extlink&oid=115993241&loc=d3e301413-122809 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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