Acquisitions - Additional Information (Detail)					12 Months Ended
	Aug. 21, 2024 USD ($)	Aug. 24, 2023 USD ($)	Aug. 24, 2023 EUR (€)	Nov. 03, 2022 USD ($)	Oct. 31, 2025 USD ($)	Oct. 31, 2024 USD ($)	Oct. 31, 2023 USD ($)
Business Combination [Line Items]
Goodwill					$ 3,304,685,000	$ 3,280,819,000	$ 2,784,201,000
Acquisition of businesses, net of cash acquired						$ (789,996,000)	$ (1,422,780,000)
Atrion Corporation
Business Combination [Line Items]
Goodwill	$ 494,279,000				480,149,000
Intangibles	129,600,000				129,600,000
Cash acquisition	789,996,000
Cash	24,428,000				$ 24,428,000
Atrion Corporation | Trade Names
Business Combination [Line Items]
Intangibles	$ 40,100,000
Atrion Corporation | Trade Names | Acquisitions In Two Thousand Twenty Three Member
Business Combination [Line Items]
Weighted average useful life	15 years
Atrion Corporation | Technology-Based Intangible Assets
Business Combination [Line Items]
Intangibles	$ 24,900,000
Atrion Corporation | Technology-Based Intangible Assets | Acquisitions In Two Thousand Twenty Three Member
Business Combination [Line Items]
Weighted average useful life	15 years
Atrion Corporation | Customer Relationships
Business Combination [Line Items]
Intangibles	$ 64,600,000
Atrion Corporation | Customer Relationships | Acquisitions In Two Thousand Twenty Three Member
Business Combination [Line Items]
Weighted average useful life	19 years
ARAG Group
Business Combination [Line Items]
Goodwill		$ 684,938,000
Intangibles		353,500,000
Debt Repayment of Acquired Company | €			€ 30,300,000
Cash		32,966,000
ARAG Group | Euro Member Countries, Euro
Business Combination [Line Items]
Cash acquisition | €			€ 957,000,000
ARAG Group | Trade Names
Business Combination [Line Items]
Intangibles		$ 27,500,000
ARAG Group | Trade Names | Acquisitions In Two Thousand Twenty Three Member
Business Combination [Line Items]
Weighted average useful life		9 years	9 years
ARAG Group | Technology-Based Intangible Assets
Business Combination [Line Items]
Intangibles		$ 31,000,000
ARAG Group | Technology-Based Intangible Assets | Acquisitions In Two Thousand Twenty Three Member
Business Combination [Line Items]
Weighted average useful life		5 years	5 years
ARAG Group | Customer Relationships
Business Combination [Line Items]
Intangibles		$ 295,000,000
ARAG Group | Customer Relationships | Acquisitions In Two Thousand Twenty Three Member
Business Combination [Line Items]
Weighted average useful life		22 years	22 years
CyberOptics Corporation
Business Combination [Line Items]
Goodwill				$ 285,330,000
Intangibles				$ 58,600,000
Acquired percent of the outstanding shares				100.00%
Acquisition of businesses, net of cash acquired				$ 377,843,000
Cash				40,890,000
CyberOptics Corporation | Trade Names
Business Combination [Line Items]
Intangibles				$ 15,200,000
CyberOptics Corporation | Trade Names | Acquisitions In Two Thousand Twenty Two Member
Business Combination [Line Items]
Weighted average useful life				15 years
CyberOptics Corporation | Technology-Based Intangible Assets
Business Combination [Line Items]
Intangibles				$ 14,600,000
CyberOptics Corporation | Technology-Based Intangible Assets | Acquisitions In Two Thousand Twenty Two Member
Business Combination [Line Items]
Weighted average useful life				7 years
CyberOptics Corporation | Customer Relationships
Business Combination [Line Items]
Intangibles				$ 28,800,000
CyberOptics Corporation | Customer Relationships | Acquisitions In Two Thousand Twenty Two Member
Business Combination [Line Items]
Weighted average useful life				12 years
364-Day Term Loan Facility
Business Combination [Line Items]
Other Loans Payable, Current	$ 500,000,000
Loans Payable, Current		$ 760,000