Share-Based Compensation Plans - Schedule of Compensation Expense and Related Income Tax Benefit for Share-Based Awards (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jul. 31, 2019	Jul. 31, 2018	Jul. 31, 2019	Jul. 31, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	$ 8.3	$ 8.1	$ 28.4	$ 34.5
Related income tax benefit	1.1	1.5	4.0	7.1
Selling, general and administrative expense
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	6.8	6.7	22.1	30.3
Cost of sales
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	1.0	0.9	3.9	2.6
Research and development expense
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total share-based compensation expense	$ 0.5	$ 0.5	$ 2.4	$ 1.6