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EMPLOYEE OPTION PLANS (Details 5) (Magic Software Enterprises Ltd [Member], USD $)
In Thousands, except Share data, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Magic Software Enterprises Ltd [Member]
   
Outstanding - Number of Options 703,110us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
 
Granted - Number of Options 155,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
 
Exercised - Number of Options (115,721)us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
 
Forfeited - Number of Options (3,500)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
 
Outstanding - Number of Options 738,889us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
703,110us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
Exercisable - Number of Options 448,639us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
 
Vested and expected to vest - Number of Options 738,889us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingNumber
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
 
Outstanding - Weighted average exercise price $ 3.16us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
 
Granted - Weighted average exercise price $ 7.47us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
 
Exercised - Weighted average exercise price $ 1.86us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
 
Forfeited - Weighted average exercise price $ 4.00us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
 
Outstanding - Weighted average exercise price $ 4.26us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
$ 3.16us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
Exercisable - Weighted average exercise price $ 2.95us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
 
Vested and expected to vest - Weighted average exercise price $ 4.26us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
 
Outstanding - Weighted average remaining contractual term (in years) 6 years 5 months 1 day 6 years 8 months 5 days
Exercisable - Weighted average remaining contractual term (in years) 5 years 11 days  
Vested and expected to vest - Weighted average remaining contractual term (in years) 6 years 5 months 1 day  
Outstanding - Aggregate intrinsic value $ 2,298us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
 
Outstanding - Aggregate intrinsic value 1,248us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
2,298us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
Exercisable - Aggregate intrinsic value 1,348us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember
 
Vested and expected to vest - Aggregate intrinsic value $ 1,248us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableAggregateIntrinsicValue
/ us-gaap_AwardTypeAxis
= forty_MagicSoftwareEnterprisesLtdMember