Income Taxes (Schedule of Provision for Income Taxes Attributable to Income from Operations and Amount Computed by Applying Statutory Federal Income Tax Rate) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 31, 2017	Oct. 31, 2016	Oct. 31, 2015
Income Tax Disclosure [Abstract]
Computed expected provision for taxes	$ 137.9	$ 103.5	$ 75.4
Income earned outside the United States subject to different tax rates	(114.6)	(81.2)	(72.6)
State taxes, net of federal income tax benefit	3.9	1.2	1.5
Research and development credit	(0.7)	(1.2)	(0.7)
Incentive stock option compensation and non-deductible employee compensation	(12.9)	0.5	0.4
Tax accrual adjustment	5.0	(5.0)	3.8
Other, net	2.5	2.9	2.6
Income tax provision	$ 21.1	$ 20.7	$ 10.4