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Selected Statements of Income Data (Details) - Schedule of selling and marketing expenses - Selling and marketing expenses [Member] - USD ($) $ in Thousands | 12 Months Ended
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Dec. 31, 2022 | Dec. 31, 2021
Selected Statements of Income Data (Details) - Schedule of selling and marketing expenses [Line Items] |  |
Salary and related expenses | $ 33,474 | $ 26,100
Advertising expenses | 2,676 | 2,522
Cost of share-based payment | (56) | 956
Others | 10,763 | 8,569
Total selling and marketing expenses | $ 46,857 | $ 38,147

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- Definition The amount of expense arising from advertising. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Name IAS -Number 1 -IssueDate 2022-03-24 -Paragraph 112 -Subparagraph c -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=1&code=ifrs-tx-2022-en-r&anchor=para_112_c&doctype=Standard -URIDate 2022-03-24 + Details
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Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition The amount of compensation to key management personnel in the form of share-based payments. [Refer: Key management personnel of entity or parent [member]] + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Name IAS -Number 24 -IssueDate 2022-03-24 -Paragraph 17 -Subparagraph e -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=24&code=ifrs-tx-2022-en-r&anchor=para_17_e&doctype=Standard -URIDate 2022-03-24 + Details
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Namespace Prefix: | ifrs-full_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition The amount of expenses that the entity does not separately disclose in the same statement or note when the entity uses the 'nature of expense' form for its analysis of expenses. [Refer: Expenses, by nature] + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Name IAS -Number 1 -IssueDate 2022-03-24 -Paragraph 102 -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=1&code=ifrs-tx-2022-en-r&anchor=para_102&doctype=Standard -URIDate 2022-03-24 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Name IAS -Number 1 -IssueDate 2022-03-24 -Paragraph 99 -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=1&code=ifrs-tx-2022-en-r&anchor=para_99&doctype=Standard -URIDate 2022-03-24 + Details
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Namespace Prefix: | ifrs-full_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition The amount of expense relating to the marketing and selling of goods or services. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Name IAS -Number 1 -IssueDate 2022-03-24 -Paragraph 85 -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=1&code=ifrs-tx-2022-en-r&anchor=para_85&doctype=Standard -URIDate 2022-03-24 + Details
Name: | ifrs-full_SalesAndMarketingExpense
Namespace Prefix: | ifrs-full_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition A class of employee benefits expense that represents wages and salaries. [Refer: Employee benefits expense] + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Name IAS -Number 19 -IssueDate 2022-03-24 -Paragraph 9 -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=19&code=ifrs-tx-2022-en-r&anchor=para_9&doctype=Standard -URIDate 2022-03-24 + Details
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Namespace Prefix: | ifrs-full_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- References No definition available. + Details
Name: | mgic_SelectedStatementsofIncomeDataDetailsScheduleofsellingandmarketingexpensesLineItems
Namespace Prefix: | mgic_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
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Namespace Prefix: |
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Balance Type: |
Period Type: |