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Taxes - Additional Information (Detail) - USD ($)	1 Months Ended	3 Months Ended			6 Months Ended
	Jul. 31, 2017	Apr. 30, 2019	Jan. 31, 2019	Apr. 30, 2018	Apr. 30, 2019	Apr. 30, 2018	Nov. 01, 2018	Oct. 31, 2018
Taxes [Line Items]
Statutory federal income tax rate					21.00%
Deferred income taxes		$ 352,667,000			$ 352,667,000			$ 404,166,000
Provision (benefit) for income taxes		15,707,000		$ 16,827,000	9,248,000	$ 140,621,000
Unrecognized tax benefits		17,400,000			17,400,000
Minimum
Taxes [Line Items]
Estimated potential decrease in underlying unrecognized tax benefits		0			0
Maximum
Taxes [Line Items]
Estimated potential decrease in underlying unrecognized tax benefits		7,000,000			$ 7,000,000
Retained Earnings | Accounting Standards Update 2016-16
Taxes [Line Items]
Cumulative effect adjustment							$ 130,500,000
Foreign Tax Authority | Hungarian Tax Authority
Taxes [Line Items]
Unrecognized tax benefits from settlement with tax authorities		$ 10,300,000	$ 22,800,000
Synopsys Hungary | Foreign Tax Authority | Tax Year 2011 - Tax Year 2013 | Hungarian Tax Authority
Taxes [Line Items]
Aggregate tax assessment	$ 25,000,000.0
Estimate of additional penalties and interest	$ 11,000,000.0
snps_FiscalYear2017 | TAIWAN, PROVINCE OF CHINA
Taxes [Line Items]
Unrecognized tax benefits from settlement with tax authorities			$ 5,500,000

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Amount after allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences and carryforwards classified as noncurrent.

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