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Taxes - Additional Information (Detail) - USD ($)
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Jul. 31, 2017
Jul. 31, 2018
Apr. 30, 2018
Jan. 31, 2018
Jul. 31, 2017
Jul. 31, 2018
Jul. 31, 2017
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     $ 18,000,000 78,000,000              
Deferred income taxes   $ 167,427,000       $ 167,427,000     $ 243,989,000    
Share-based compensation, excess tax benefit, amount   14,600,000     $ 18,400,000 25,400,000 $ 29,700,000        
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   $ 13,000,000       $ 13,000,000          
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              
Foreign Tax Authority | Fiscal Year 2014 | KOREA, REPUBLIC OF                      
Taxes [Line Items]                      
Settlement of transfer pricing issue expense (benefit)         (10,900,000)            
Foreign Tax Authority | Fiscal years 2012 to 2016 | KOREA, REPUBLIC OF                      
Taxes [Line Items]                      
Settlement of transfer pricing issue expense (benefit)         $ 7,900,000            
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%