Consolidated Statements of Income - USD ($) shares in Millions, $ in Millions	3 Months Ended		6 Months Ended
	Apr. 30, 2019	Apr. 30, 2018	Apr. 30, 2019	Apr. 30, 2018
Income Statement [Abstract]
Net sales (Note 2)	$ 654.3	$ 631.3	$ 1,282.4	$ 1,221.3
Cost of sales	221.7	226.8	431.3	445.9
Gross profit	432.6	404.5	851.1	775.4
Selling, general and administrative expense	246.8	247.9	496.8	473.8
Research and development expense	21.0	20.8	42.0	39.7
Amortization of intangibles	36.9	36.7	73.5	72.7
Impairment of intangibles	0.0	24.4	0.0	24.4
Gain on sale of an intangible (Note 5)	(19.0)	0.0	(19.0)	0.0
Operating income	146.9	74.7	257.8	164.8
Interest expense	18.5	18.7	36.6	37.1
Other expense (income), net	0.3	2.0	(0.7)	(1.1)
Income before income taxes	128.1	54.0	221.9	128.8
Provision (benefit) for income taxes (Note 7)	5.7	(6.9)	(3.6)	190.4
Net income (loss)	$ 122.4	$ 60.9	$ 225.5	$ (61.6)
Earnings (loss) per share - basic (in usd per share) (Note 8)	$ 2.48	$ 1.24	$ 4.57	$ (1.26)
Earnings (loss) per share - diluted (in usd per share) (Note 8)	$ 2.45	$ 1.23	$ 4.52	$ (1.26)
Number of shares used to compute earnings (loss) per share:
Basic (shares)	49.4	49.1	49.3	49.0
Diluted (shares)	50.0	49.6	49.9	49.0