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Taxes - Additional Information (Detail) - USD ($) | 1 Months Ended | 3 Months Ended | 6 Months Ended |  |
--- | --- | --- | --- | --- | ---
Jul. 31, 2017 | Apr. 30, 2019 | Jan. 31, 2019 | Apr. 30, 2018 | Apr. 30, 2019 | Apr. 30, 2018 | Nov. 01, 2018 | Oct. 31, 2018
Taxes [Line Items] |  |  |  |  |  |  |  |
Statutory federal income tax rate |  |  |  |  | 21.00% |  |  |
Deferred income taxes |  | $ 352,667,000 |  |  | $ 352,667,000 |  |  | $ 404,166,000
Provision (benefit) for income taxes |  | 15,707,000 |  | $ 16,827,000 | 9,248,000 | $ 140,621,000 |  |
Unrecognized tax benefits |  | 17,400,000 |  |  | 17,400,000 |  |  |
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 |  | 7,000,000 |  |  | $ 7,000,000 |  |  |
Retained Earnings | Accounting Standards Update 2016-16 |  |  |  |  |  |  |  |
Taxes [Line Items] |  |  |  |  |  |  |  |
Cumulative effect adjustment |  |  |  |  |  |  | $ 130,500,000 |
Foreign Tax Authority | Hungarian Tax Authority |  |  |  |  |  |  |  |
Taxes [Line Items] |  |  |  |  |  |  |  |
Unrecognized tax benefits from settlement with tax authorities |  | $ 10,300,000 | $ 22,800,000 |  |  |  |  |
Synopsys Hungary | Foreign Tax Authority | Tax Year 2011 - Tax Year 2013 | Hungarian Tax Authority |  |  |  |  |  |  |  |
Taxes [Line Items] |  |  |  |  |  |  |  |
Aggregate tax assessment | $ 25,000,000.0 |  |  |  |  |  |  |
Estimate of additional penalties and interest | $ 11,000,000.0 |  |  |  |  |  |  |
snps_FiscalYear2017 | TAIWAN, PROVINCE OF CHINA |  |  |  |  |  |  |  |
Taxes [Line Items] |  |  |  |  |  |  |  |
Unrecognized tax benefits from settlement with tax authorities |  |  | $ 5,500,000 |  |  |  |  |

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