Consolidated Statements of Income - USD ($) shares in Millions, $ in Millions	3 Months Ended
	Jan. 31, 2019	Jan. 31, 2018
Income Statement [Abstract]
Net sales	$ 628.1	$ 590.0
Cost of sales	209.6	219.1
Gross profit	418.5	370.9
Selling, general and administrative expense	250.0	225.9
Research and development expense	21.0	18.8
Amortization of intangibles	36.6	36.0
Operating income	110.9	90.2
Interest expense	18.2	18.4
Other income, net	1.1	3.0
Income before income taxes	93.8	74.8
(Benefit) provision for income taxes	(9.4)	197.3
Net income (loss)	$ 103.2	$ (122.5)
Earnings (loss) per share - basic (in usd per share)	$ 2.09	$ (2.50)
Earnings (loss) per share - diluted (in usd per share)	$ 2.07	$ (2.50)
Number of shares used to compute earnings (loss) per share:
Basic (shares)	49.3	48.9
Diluted (shares)	49.9	48.9