Share-Based Compensation Plans (Details) - USD ($) $ in Millions	3 Months Ended
	Jan. 31, 2022	Jan. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	$ 13.6	$ 10.8
Related income tax benefit	1.6	1.2
Selling, general and administrative expense
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	11.5	9.1
Cost of sales
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	1.3	1.1
Research and development expense
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	$ 0.8	$ 0.6