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INCOME TAXES (Narrative) (Details) (USD $)
12 Months Ended 36 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Jan. 03, 2015
Income Tax Contingency        
State income tax cumulative loss, period       3 years
Valuation allowance on state deferred tax $ 3,900,000us-gaap_DeferredTaxAssetsValuationAllowance $ 3,500,000us-gaap_DeferredTaxAssetsValuationAllowance   $ 3,900,000us-gaap_DeferredTaxAssetsValuationAllowance
Undistributed foreign earnings 600,000us-gaap_DeferredTaxLiabilitiesUndistributedForeignEarnings     600,000us-gaap_DeferredTaxLiabilitiesUndistributedForeignEarnings
Deferred taxes on the excess of the financial reporting over the tax basis in our investments in foreign subsidiaries that are essentially permanent in duration 265,800,000fele_DeferredTaxesExcessOfFinancialReportingOverTaxBasisInForeignSubsidiariesInvestmentsThatAreEssentiallyPermanent     265,800,000fele_DeferredTaxesExcessOfFinancialReportingOverTaxBasisInForeignSubsidiariesInvestmentsThatAreEssentiallyPermanent
Unrecognized tax benefits that would impact effective tax rate if recognized 4,300,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate 5,000,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate 6,800,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate 4,300,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate
Reduction of unrecognized tax benefits due to statue expirations 1,400,000us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations 0us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations 0us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations  
Increase of unrecognized tax benefits due to current period tax positions 100,000us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions 0us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions 0us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions  
Increases resulting from prior period tax positions related to acquistions 1,800,000fele_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositionsRelatedToAcquistions      
Increase in interest and penalties reserve due to prior years tax positions 2,300,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestExpense      
Reserve for interest and penalties 2,500,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued 200,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued 1,100,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued 2,500,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued
Significant change in unrecognized tax benefits is reasonably possible, estimated range of change, upper bound 1,700,000us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleEstimatedRangeOfChangeUpperBound     1,700,000us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleEstimatedRangeOfChangeUpperBound
State        
Income Tax Contingency        
Increase of unrecognized tax benefits due to current period tax positions 100,000us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_StateAndLocalJurisdictionMember
     
State and NOL carryforwards        
Income Tax Contingency        
Valuation allowance on state deferred tax $ 3,200,000us-gaap_DeferredTaxAssetsValuationAllowance
/ us-gaap_IncomeTaxAuthorityAxis
= fele_StateandNOLcarryforwardsMember
    $ 3,200,000us-gaap_DeferredTaxAssetsValuationAllowance
/ us-gaap_IncomeTaxAuthorityAxis
= fele_StateandNOLcarryforwardsMember