Accounting Policies - Narrative (Details)	3 Months Ended	12 Months Ended
	Jul. 31, 2021 USD ($)	Oct. 31, 2021 USD ($) business_unit shares	Oct. 31, 2020 USD ($) shares	Oct. 31, 2019 USD ($)	Oct. 31, 2018 USD ($)
Property, Plant and Equipment [Line Items]
Number of business units | business_unit		2
Refund liability for product returns		$ 13,700,000	$ 10,000,000
Goodwill impairment	$ 0	0	0
Cumulative-effect adjustment upon adoption of accounting standards update		(6,942,000,000)	(3,824,800,000)	$ (3,628,600,000)	$ (3,307,800,000)
Net foreign exchange loss		5,500,000	1,200,000	2,200,000
Interest capitalized included in construction in progress		$ 7,800,000	$ 5,300,000
Treasury stock (in shares) | shares		4,400,000	4,300,000
Treasury stock repurchase (in shares) | shares		69,622	160,850
Retained Earnings
Property, Plant and Equipment [Line Items]
Cumulative-effect adjustment upon adoption of accounting standards update		$ (6,202,100,000)	$ (3,261,800,000)	$ (3,026,400,000)	(2,576,000,000)
Cumulative Effect, Period of Adoption, Adjustment
Property, Plant and Equipment [Line Items]
Cumulative-effect adjustment upon adoption of accounting standards update			1,400,000		13,300,000
Cumulative Effect, Period of Adoption, Adjustment | Retained Earnings
Property, Plant and Equipment [Line Items]
Cumulative-effect adjustment upon adoption of accounting standards update			$ 1,400,000		$ 13,300,000
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