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Share-Based Compensation Plans (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended
--- | --- | ---
Apr. 30, 2022 | Apr. 30, 2021 | Apr. 30, 2022 | Apr. 30, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Total share-based compensation expense | $ 13.0 | $ 10.2 | $ 26.6 | $ 21.0
Related income tax benefit | 1.1 | 1.2 | 2.7 | 2.4
Selling, general and administrative expense |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Total share-based compensation expense | 11.3 | 8.7 | 22.8 | 17.8
Cost of sales |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Total share-based compensation expense | 1.0 | 0.9 | 2.3 | 2.0
Research and development expense |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Total share-based compensation expense | $ 0.7 | $ 0.6 | $ 1.5 | $ 1.2

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