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Income Taxes - Additional Information (Detail) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jan. 31, 2024
Jul. 31, 2023
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      
Maximum        
Taxes [Line Items]        
Estimated potential decrease in underlying unrecognized tax benefits $ 5.4      
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  
Release of unrecognized tax benefit and offsetting foreign tax credits, net benefit   $ 23.8