Business Segment Information - Information by Geographical Area by Country of Domicile (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Oct. 31, 2020	Jul. 31, 2020	Apr. 30, 2020	Jan. 31, 2020	Oct. 31, 2019	Jul. 31, 2019	Apr. 30, 2019	Jan. 31, 2019	Oct. 31, 2020	Oct. 31, 2019	Oct. 31, 2018
Segment Reporting Information [Line Items]
Net sales	$ 681.6	$ 578.2	$ 524.9	$ 646.2	$ 691.6	$ 679.4	$ 654.3	$ 628.1	$ 2,430.9	$ 2,653.4	$ 2,532.8
Operating income (loss)									311.8	546.7	403.1
Long-lived assets	1,281.9				1,132.1				1,281.9	1,132.1	976.0
United States
Segment Reporting Information [Line Items]
Net sales									1,103.6	1,211.8	1,162.2
Europe
Segment Reporting Information [Line Items]
Net sales									789.8	854.8	846.5
Rest of World
Segment Reporting Information [Line Items]
Net sales									537.5	586.8	524.1
Geography Eliminations | United States
Segment Reporting Information [Line Items]
Net sales									(391.7)	(650.7)	(274.3)
Geography Eliminations | Europe
Segment Reporting Information [Line Items]
Net sales									(327.1)	(300.8)	(407.1)
Geography Eliminations | Rest of World
Segment Reporting Information [Line Items]
Net sales									(718.8)	(951.5)	(681.4)
Reportable Geographical Components | United States
Segment Reporting Information [Line Items]
Net sales									1,495.3	1,862.5	1,436.5
Operating income (loss)									(14.5)	83.2	(39.3)
Long-lived assets	721.3				626.5				721.3	626.5	516.7
Reportable Geographical Components | Europe
Segment Reporting Information [Line Items]
Net sales									1,116.9	1,155.6	1,253.6
Operating income (loss)									21.9	29.3	(16.8)
Long-lived assets	363.0				358.8				363.0	358.8	340.7
Eliminations, Corporate and Reconciling Items | Rest of World
Segment Reporting Information [Line Items]
Net sales									(181.3)	(364.7)	(157.3)
Operating income (loss)									304.4	434.2	459.2
Long-lived assets	$ 197.6				$ 146.8				$ 197.6	$ 146.8	$ 118.6