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Taxes - Additional Information (Detail) - USD ($)
1 Months Ended 3 Months Ended 12 Months Ended
Jul. 31, 2017
Jan. 31, 2018
Oct. 31, 2018
Oct. 31, 2017
Jan. 31, 2017
Nov. 01, 2016
Taxes [Line Items]            
Increase in income tax expense as result of the Tax Cuts and Jobs Act   $ 119,000,000        
Provisional tax charge as result of deferred tax remeasurement due to Tax Cuts and Jobs Act   46,000,000        
Provisional transition tax expense as result of the Tax Cuts and Jobs Act   71,000,000        
Income taxes payable on foreign earnings as result of the Tax Cuts and Jobs Act   78,000,000        
Deferred income taxes   187,346,000   $ 243,989,000    
Share-based compensation, excess tax benefit, amount   7,500,000        
Minimum            
Taxes [Line Items]            
Estimated potential decrease in underlying unrecognized tax benefits   0        
Maximum            
Taxes [Line Items]            
Estimated potential decrease in underlying unrecognized tax benefits   12,000,000        
Accounting Standards Update 2016-09 | New Accounting Pronouncement, Early Adoption, Effect            
Taxes [Line Items]            
Deferred income taxes         $ 106,500,000  
Retained Earnings | Accounting Standards Update 2016-09 | New Accounting Pronouncement, Early Adoption, Effect            
Taxes [Line Items]            
Cumulative effect adjustment           $ 106,500,000
State            
Taxes [Line Items]            
Provisional transition tax expense as result of the Tax Cuts and Jobs Act   $ 2,000,000        
Synopsys Hungary | Foreign Tax Authority | Tax Year 2011 - Tax Year 2013 | Hungarian Tax Authority            
Taxes [Line Items]            
Estimate of tax assessment $ 47,000,000          
Estimate of additional penalties and interest 18,000,000          
Synopsys Hungary | Foreign Tax Authority | Fiscal Year 2015 and Beyond | Hungarian Tax Authority            
Taxes [Line Items]            
Estimate of tax assessment $ 18,000,000          
Scenario, Forecast            
Taxes [Line Items]            
Statutory federal income tax rate     23.40%