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Income Taxes - Additional Information (Detail) - USD ($)
1 Months Ended 3 Months Ended 9 Months Ended
Jul. 31, 2017
Jul. 31, 2021
Jul. 31, 2020
Jul. 31, 2019
Jul. 31, 2021
Jul. 31, 2018
Taxes [Line Items]            
Statutory federal income tax rate         21.00%  
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   48,000,000     $ 48,000,000  
California Franchise Tax Board | Tax Year 2015 - Tax Year 2017            
Taxes [Line Items]            
Decrease in unrecognized tax benefits resulting from settlement with taxing authorities   $ 19,200,000        
Synopsys Hungary | Foreign Tax Authority | Tax Year 2011 - Tax Year 2013 | Hungarian Tax Authority            
Taxes [Line Items]            
Aggregate tax assessment           $ 25,000,000
Estimate of additional penalties and interest $ 11,000,000          
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