Business Combinations - Additional Information (Details) - USD ($) $ in Thousands	3 Months Ended	9 Months Ended
	Apr. 30, 2020	Jul. 31, 2020	Oct. 31, 2019	[1]
Business Acquisition [Line Items]
Consideration transfered		$ 238,300
Goodwill		3,356,407	$ 3,171,179
Design service arrangement	$ 10,700
Design service arrangement amortization period	5 years
Series of Individually Immaterial Business Acquisitions
Business Acquisition [Line Items]
Consideration transfered		132,600
Identifiable intangibles assets acquired		44,700
Goodwill		92,400
Semiconductor & System Design
Business Acquisition [Line Items]
Consideration transfered	$ 105,700
Consideration transfered, cash	75,700
Consideration transfered, fair value of company product	30,000
Identifiable intangibles assets acquired	20,600
Tangibles assets acquired	4,200
Goodwill	$ 80,900
Software Integrity | Series of Individually Immaterial Business Acquisitions
Business Acquisition [Line Items]
Goodwill		$ 12,900

[1] Derived from audited financial statements.