Accounting Policies - Narrative (Details)	3 Months Ended		12 Months Ended
	Jul. 31, 2020 USD ($)	Jul. 31, 2019 USD ($)	Oct. 31, 2020 USD ($) business_unit shares	Oct. 31, 2019 USD ($) shares	Oct. 31, 2018 USD ($)
Property, Plant and Equipment [Line Items]
Number of business units | business_unit			2
Refund liability for product returns			$ 10,000,000.0	$ 11,600,000
Goodwill impairment	$ 0	$ 0	0	0
Operating lease right-of-use assets			260,200,000
Lease liability			270,100,000
Net foreign exchange loss			1,200,000	2,200,000	$ 3,400,000
Interest capitalized included in construction in progress			$ 5,300,000	$ 6,100,000
Treasury stock repurchase (in shares) | shares			4,300,000	4,100,000
Number of shares | shares			160,850	536,972
Minimum
Property, Plant and Equipment [Line Items]
Capitalized contract cost, amortization period (or less)			1 year
Minimum | Building
Property, Plant and Equipment [Line Items]
Property, plant and equipment, useful life			30 years
Minimum | Machinery and equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment, useful life			3 years
Maximum | Building
Property, Plant and Equipment [Line Items]
Property, plant and equipment, useful life			40 years
Maximum | Machinery and equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment, useful life			15 years