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Income Taxes - Additional Information (Detail) - USD ($) | 1 Months Ended | 3 Months Ended | 6 Months Ended |
--- | --- | --- | --- | ---
Jul. 31, 2017 | Apr. 30, 2021 | Apr. 30, 2020 | Apr. 30, 2019 | Apr. 30, 2021 | Apr. 30, 2020 | Apr. 30, 2018
Taxes [Line Items] |  |  |  |  |  |  |
Statutory federal income tax rate |  |  |  |  | 21.00% |  |
Provision (benefit) for income taxes |  | $ 21,193,000 | $ 246,000 |  | $ 36,269,000 | $ (4,242,000) |
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 |  | $ 44,000,000 |  |  | $ 44,000,000 |  |
Synopsys Hungary | Foreign Tax Authority | Tax Year 2011 - Tax Year 2013 | Hungarian Tax Authority |  |  |  |  |  |  |
Taxes [Line Items] |  |  |  |  |  |  |
Aggregate tax assessment |  |  |  |  |  |  | $ 25,000,000.0
Estimate of additional penalties and interest | $ 11,000,000.0 |  |  |  |  |  |
Unrecognized tax benefits |  |  |  | $ 17,400,000 |  |  |
Synopsys Hungary | Foreign Tax Authority | Tax Year 2014 - Tax Year 2018 | Hungarian Tax Authority |  |  |  |  |  |  |
Taxes [Line Items] |  |  |  |  |  |  |
Unrecognized tax benefits from settlement with tax authorities |  |  | $ 6,900,000 |  |  |  |

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- Definition Amount of decrease reasonably possible in the next twelve months for the unrecognized tax benefit. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15 -Subparagraph (d)(3) -URI http://asc.fasb.org/extlink&oid=84230637&loc=d3e32718-109319 + Details
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- Definition Percentage of domestic federal statutory tax rate applicable to pretax income (loss). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 6.I.Fact.4) -URI http://asc.fasb.org/extlink&oid=116825942&loc=d3e330036-122817 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 12 -URI http://asc.fasb.org/extlink&oid=84230637&loc=d3e32687-109319 + Details
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