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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 |  |

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