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Income Taxes - Additional Information (Detail) - USD ($)
1 Months Ended 3 Months Ended
Jul. 31, 2017
Jan. 31, 2021
Oct. 31, 2020
Jan. 31, 2020
Oct. 31, 2019
Jan. 31, 2018
Taxes [Line Items]            
Statutory federal income tax rate   21.00%        
Provision (benefit) for income taxes   $ 15,076,000   $ (4,488,000)    
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   $ 43,000,000        
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          
Unrecognized tax benefits         $ 17,400,000  
Synopsys Hungary | Foreign Tax Authority | Tax Year 2014 - Tax Year 2018 | Hungarian Tax Authority            
Taxes [Line Items]            
Unrecognized tax benefits from settlement with tax authorities     $ 6,900,000