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Income Taxes - Additional Information (Detail) - USD ($)
1 Months Ended 3 Months Ended 9 Months Ended
Jul. 31, 2017
Apr. 30, 2019
Jul. 31, 2022
Taxes [Line Items]      
Statutory federal income tax rate     21.00%
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     $ 33,000,000
Synopsys Hungary | Foreign Tax Authority | Tax Year 2011 - Tax Year 2013 | Hungarian Tax Authority      
Taxes [Line Items]      
Aggregate tax assessment $ 25,000,000    
Estimate of additional penalties and interest $ 11,000,000    
Unrecognized tax benefits   $ 17,400,000