Business Segment Information - Information by Geographical Area by Country of Domicile (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 31, 2021	Oct. 31, 2020	Oct. 31, 2019
Segment Reporting Information [Line Items]
Net sales	$ (2,922.5)	$ (2,430.9)	$ (2,653.4)
Operating (loss) income	505.8	311.8	546.7
Long-lived assets	1,347.6	1,281.9	1,132.1
United States
Segment Reporting Information [Line Items]
Net sales	(1,339.2)	(1,103.6)	(1,211.8)
Europe
Segment Reporting Information [Line Items]
Net sales	(957.9)	(789.8)	(854.8)
Rest of World
Segment Reporting Information [Line Items]
Net sales	(625.4)	(537.5)	(586.8)
Geography Eliminations | United States
Segment Reporting Information [Line Items]
Net sales	494.9	391.7	650.7
Geography Eliminations | Europe
Segment Reporting Information [Line Items]
Net sales	815.1	327.1	300.8
Geography Eliminations | Rest of World
Segment Reporting Information [Line Items]
Net sales	1,310.0	718.8	951.5
Reportable Geographical Components | United States
Segment Reporting Information [Line Items]
Net sales	(1,834.1)	(1,495.3)	(1,862.5)
Operating (loss) income	(26.8)	(14.5)	83.2
Long-lived assets	737.5	721.3	626.5
Reportable Geographical Components | Europe
Segment Reporting Information [Line Items]
Net sales	(1,773.0)	(1,116.9)	(1,155.6)
Operating (loss) income	416.2	21.9	29.3
Long-lived assets	377.2	363.0	358.8
Eliminations, Corporate and Reconciling Items | Rest of World
Segment Reporting Information [Line Items]
Net sales	684.6	181.3	364.7
Operating (loss) income	116.4	304.4	434.2
Long-lived assets	$ 232.9	$ 197.6	$ 146.8