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Income Taxes - Additional Information (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended 12 Months Ended
Jul. 31, 2023
Apr. 30, 2024
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