Consolidated Statements of Income - USD ($) shares in Millions, $ in Millions	3 Months Ended		9 Months Ended
	Jul. 31, 2019	Jul. 31, 2018	Jul. 31, 2019	Jul. 31, 2018
Income Statement [Abstract]
Net sales (Note 2)	$ 679.4	$ 660.0	$ 1,961.8	$ 1,881.3
Cost of sales	228.7	233.2	660.0	679.1
Gross profit	450.7	426.8	1,301.8	1,202.2
Selling, general and administrative expense	249.8	251.0	746.6	724.7
Research and development expense	21.5	22.5	63.4	62.2
Amortization of intangibles	37.2	37.7	110.7	110.5
Impairment of intangibles	0.0	0.0	0.0	24.4
Gain on sale of an intangible (Note 5)	0.0	0.0	(19.0)	0.0
Operating income	142.2	115.6	400.1	280.4
Interest expense	16.7	22.8	53.3	59.9
Other (income) expense, net	(1.5)	2.4	(2.1)	1.3
Income before income taxes	127.0	90.4	348.9	219.2
Provision (benefit) for income taxes (Note 7)	6.9	(10.4)	3.2	180.0
Net income	$ 120.1	$ 100.8	$ 345.7	$ 39.2
Earnings per share - basic (in dollars per share) (Note 8)	$ 2.43	$ 2.05	$ 7.00	$ 0.80
Earnings per share - diluted (in dollars per share) (Note 8)	$ 2.40	$ 2.03	$ 6.91	$ 0.79
Number of shares used to compute earnings per share:
Basic (in shares)	49.5	49.1	49.4	49.0
Diluted (in shares)	50.1	49.7	50.0	49.6