Consolidated Statements of Income and Comprehensive Income (Loss) - USD ($) shares in Millions, $ in Millions	3 Months Ended		6 Months Ended
	Apr. 30, 2021	Apr. 30, 2020	Apr. 30, 2021	Apr. 30, 2020
Income Statement [Abstract]
Net sales	$ 719.5	$ 524.9	$ 1,400.0	$ 1,171.1
Cost of sales	232.4	201.4	462.2	421.1
Gross profit	487.1	323.5	937.8	750.0
Selling, general and administrative expense	285.8	237.2	547.0	495.5
Research and development expense	21.0	23.8	42.4	46.0
Amortization of intangibles	37.1	33.9	71.8	68.8
Operating income	143.2	28.6	276.6	139.7
Interest expense	6.1	12.8	12.5	24.4
Other expense (income), net	0.7	6.8	(11.8)	8.9
Income before income taxes	136.4	9.0	275.9	106.4
Provision for income taxes (Note 6)	18.9	(2.5)	(1,942.7)	4.4
Net income	$ 117.5	$ 11.5	$ 2,218.6	$ 102.0
Earnings per share (Note 7):
Basic (in dollars per share)	$ 2.39	$ 0.23	$ 45.12	$ 2.07
Diluted (in dollars per share)	$ 2.36	$ 0.23	$ 44.65	$ 2.05
Number of shares used to compute earnings per share:
Basic (in shares)	49.2	49.2	49.2	49.2
Diluted (in shares)	49.7	49.6	49.7	49.7
Other comprehensive income (loss), net of tax:
Cash flow hedges	$ 15.2	$ (13.5)	$ 19.7	$ (13.5)
Foreign currency translation adjustment, net of tax	18.9	(68.9)	105.1	(52.2)
Comprehensive income (loss)	$ 151.6	$ (70.9)	$ 2,343.4	$ 36.3