Consolidated Statements of Income and Comprehensive Income - USD ($) shares in Millions, $ in Millions	3 Months Ended		9 Months Ended
	Jul. 31, 2020	Jul. 31, 2019	Jul. 31, 2020	Jul. 31, 2019
Income Statement [Abstract]
Net sales	$ 578.2	$ 679.4	$ 1,749.3	$ 1,961.8
Cost of sales	217.4	228.7	638.5	660.0
Gross profit	360.8	450.7	1,110.8	1,301.8
Selling, general and administrative expense	232.8	249.8	728.3	746.6
Research and development expense	21.8	21.5	67.8	63.4
Amortization of intangibles	34.2	37.2	103.0	110.7
Gain on sale of an intangible	0.0	0.0	0.0	(19.0)
Operating income	72.0	142.2	211.7	400.1
Interest expense	5.7	16.7	30.1	53.3
Other (income) expense, net	(0.1)	(1.5)	8.8	(2.1)
Income before income taxes	66.4	127.0	172.8	348.9
Provision for income taxes (Note 7)	11.2	6.9	15.6	3.2
Net income	$ 55.2	$ 120.1	$ 157.2	$ 345.7
Earnings per share (Note 8):
Basic (in dollars per share)	$ 1.13	$ 2.43	$ 3.20	$ 7.00
Diluted (in dollars per share)	$ 1.12	$ 2.40	$ 3.17	$ 6.91
Number of shares used to compute earnings per share:
Basic (in shares)	49.1	49.5	49.1	49.4
Diluted (in shares)	49.5	50.1	49.6	50.0
Other comprehensive income, net of tax:
Cash flow hedges	$ (4.6)	$ 0.0	$ (18.1)	$ 0.0
Foreign currency translation adjustment, net of tax	72.7	(65.2)	20.5	(51.1)
Comprehensive income	$ 123.3	$ 54.9	$ 159.6	$ 294.6