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Income Taxes - Additional Information (Detail) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended 12 Months Ended
Jul. 31, 2023
Jul. 31, 2023
Oct. 31, 2019
Oct. 31, 2017
May 17, 2023
Taxes [Line Items]          
Statutory federal income tax rate   21.00%      
Minimum          
Taxes [Line Items]          
Estimated potential decrease in underlying unrecognized tax benefits $ 0.0 $ 0.0      
Maximum          
Taxes [Line Items]          
Estimated potential decrease in underlying unrecognized tax benefits 10.0 $ 10.0      
Synopsys Hungary | Foreign Tax Authority | Tax Year 2011 - Tax Year 2013 | Hungarian Tax Authority          
Taxes [Line Items]          
Aggregate tax assessment (refund)       $ 25.0 $ (39.1)
Estimate of additional penalties and interest       $ 11.0  
Unrecognized tax benefits     $ 17.4    
Release of unrecognized tax benefit and offsetting foreign tax credits, net benefit $ 23.8