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Share-Based Compensation Plans (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jul. 31, 2022
Jul. 31, 2021
Jul. 31, 2022
Jul. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total share-based compensation expense $ 13.7 $ 12.1 $ 40.3 $ 33.1
Related income tax benefit 1.3 1.2 4.0 3.6
Selling, general and administrative expense        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total share-based compensation expense 11.8 10.6 34.6 28.4
Cost of sales        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total share-based compensation expense 1.1 0.9 3.4 2.9
Research and development expense        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total share-based compensation expense $ 0.8 $ 0.6 $ 2.3 $ 1.8