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Equity (Details) - Schedule of share capital - shares | 12 Months Ended
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Dec. 31, 2021 | Dec. 31, 2020
Schedule of share capital [Abstract] |  |
Authorized | 25,000,000 | 25,000,000
Issued | 15,862,887 | 15,862,887
Outstanding | 15,294,267 | 15,294,267

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- Definition The number of shares that have been authorised and issued, reduced by treasury shares held. [Refer: Treasury shares] + References No definition available. + Details
Name: | forty_NumberOfSharesOutstanding1
Namespace Prefix: | forty_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | duration

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

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- Definition The number of shares authorised. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Name IAS -Number 1 -IssueDate 2021-01-01 -Paragraph 79 -Subparagraph a -Clause i -URI http://eifrs.ifrs.org/eifrs/xifrs-link?type=IAS&num=1&code=ifrs-tx-2021-en-r&anchor=para_79_a_i&doctype=Standard -URIDate 2021-03-24 + Details
Name: | ifrs-full_NumberOfSharesAuthorised
Namespace Prefix: | ifrs-full_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

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- Definition The number of shares issued by the entity. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Name IAS -Number 1 -IssueDate 2021-01-01 -Paragraph 106 -Subparagraph d -URI http://eifrs.ifrs.org/eifrs/xifrs-link?type=IAS&num=1&code=ifrs-tx-2021-en-r&anchor=para_106_d&doctype=Standard -URIDate 2021-03-24 + Details
Name: | ifrs-full_NumberOfSharesIssued
Namespace Prefix: | ifrs-full_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant