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