Share-Based Compensation (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Apr. 30, 2025	Apr. 30, 2024	Apr. 30, 2025	Apr. 30, 2024
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	$ 20.3	$ 17.2	$ 39.1	$ 41.1
Related income tax benefit	2.8	1.5	5.7	4.8
Selling, general and administrative expense
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	18.5	15.4	35.2	37.2
Cost of sales
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	1.2	1.1	2.5	2.3
Research and development expense
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	$ 0.6	$ 0.7	$ 1.4	$ 1.6