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Taxes - Additional Information (Detail) (USD $)
In Millions, unless otherwise specified
3 Months Ended 6 Months Ended 3 Months Ended 12 Months Ended
Apr. 30, 2015
Apr. 30, 2015
Jan. 31, 2014
Jan. 31, 2015
Apr. 30, 2014
Oct. 31, 2015
Taxes [Line Items]            
Statutory federal income tax rate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate        
Gross unrecognized tax benefits $ 129.9us-gaap_UnrecognizedTaxBenefits $ 129.9us-gaap_UnrecognizedTaxBenefits        
Unrecognized tax benefits that would affect effective tax rate 129.9us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate 129.9us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate        
Estimated potential decrease in underlying unrecognized tax benefits, minimum 0us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleEstimatedRangeOfChangeLowerBound 0us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleEstimatedRangeOfChangeLowerBound        
Estimated potential decrease in underlying unrecognized tax benefits, maximum 37us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleEstimatedRangeOfChangeUpperBound 37us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleEstimatedRangeOfChangeUpperBound        
Fiscal Year 2012 | IRS            
Taxes [Line Items]            
Unrecognized tax benefits decrease resulting from settlement     10.0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_InternalRevenueServiceIRSMember
/ us-gaap_TaxPeriodAxis
= snps_FiscalYearTwentyTwelveMember
     
Fiscal Year 2012 | Taiwan            
Taxes [Line Items]            
Unrecognized tax benefits decrease resulting from settlement       1.1us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities
/ us-gaap_IncomeTaxAuthorityAxis
= country_TW
/ us-gaap_TaxPeriodAxis
= snps_FiscalYearTwentyTwelveMember
   
Fiscal Year 2009 and 2010 | Taiwan            
Taxes [Line Items]            
Unrecognized tax benefits decrease resulting from settlement         5.1us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities
/ us-gaap_IncomeTaxAuthorityAxis
= country_TW
/ us-gaap_TaxPeriodAxis
= snps_FiscalYearTwentyZeroNineAndTwentyTenMember
 
Tax Adjustments, Settlements, and Unusual Provisions         3.9us-gaap_TaxAdjustmentsSettlementsAndUnusualProvisions
/ us-gaap_IncomeTaxAuthorityAxis
= country_TW
/ us-gaap_TaxPeriodAxis
= snps_FiscalYearTwentyZeroNineAndTwentyTenMember
 
Forecast            
Taxes [Line Items]            
Expected research tax credit benefit           $ 12.4snps_IncomeTaxRateReconciliationEstimatedResearchTaxCreditBenefitAmount
/ us-gaap_StatementScenarioAxis
= us-gaap_ScenarioForecastMember