Consolidated Statements of Income and Comprehensive Income - USD ($) shares in Millions, $ in Millions	3 Months Ended		6 Months Ended
	Apr. 30, 2020	Apr. 30, 2019	Apr. 30, 2020	Apr. 30, 2019
Income Statement [Abstract]
Net sales	$ 524.9	$ 654.3	$ 1,171.1	$ 1,282.4
Cost of sales	201.4	221.7	421.1	431.3
Gross profit	323.5	432.6	750.0	851.1
Selling, general and administrative expense	237.2	246.8	495.5	496.8
Research and development expense	23.8	21.0	46.0	42.0
Amortization of intangibles	33.9	36.9	68.8	73.5
Gain on sale of an intangible	0.0	(19.0)	0.0	(19.0)
Operating income	28.6	146.9	139.7	257.8
Interest expense	12.8	18.5	24.4	36.6
Other expense (Income), net	6.8	0.3	8.9	(0.7)
Income before income taxes	9.0	128.1	106.4	221.9
(Benefit) Provision for income taxes (Note 7)	(2.5)	5.7	4.4	(3.6)
Net income	$ 11.5	$ 122.4	$ 102.0	$ 225.5
Earnings per share - basic (in dollars per share) (Note 8)	$ 0.23	$ 2.48	$ 2.07	$ 4.57
Earnings per share - diluted (in dollars per share) (Note 8)	$ 0.23	$ 2.45	$ 2.05	$ 4.52
Number of shares used to compute earnings per share:
Basic (in shares)	49.2	49.4	49.2	49.3
Diluted (in shares)	49.6	50.0	49.7	49.9
Other comprehensive income, net of tax:
Cash flow hedge	$ (13.5)	$ 0.0	$ (13.5)	$ 0.0
Foreign currency translation adjustment, net of tax	(68.9)	(18.6)	(52.2)	14.1
Comprehensive (loss) income	$ (70.9)	$ 103.8	$ 36.3	$ 239.6