Stock Plans (Schedule of Compensation Expense and Related Income Tax Benefit for Share-Based Awards) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 31, 2017	Oct. 31, 2016	Oct. 31, 2015
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total compensation expense	$ 37.2	$ 29.9	$ 32.9
Related income tax benefit	11.4	9.0	10.2
Selling, general and administrative expense [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total compensation expense	33.1	26.2	29.2
Cost of Sales [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total compensation expense	2.8	2.6	2.8
Research and Development Expense [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total compensation expense	$ 1.3	$ 1.1	$ 0.9