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SHARE-BASED COMPENSATION (Details) (USD $)
3 Months Ended
Apr. 04, 2015
Mar. 29, 2014
May 04, 2012
Apr. 24, 2009
Fair Value Assumptions        
Risk-free interest rate (as a percent) 1.59%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate 1.68%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate    
Dividend yield (as a percent) 0.95%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate 0.70%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate    
Volatility factor (as a percent) 37.90%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate 38.70%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate    
Expected term (in years) 5 years 6 months 5 years 7 months 6 days    
Forfeiture rate (as a percent) 3.67%fele_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsForfeitureRate 3.81%fele_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsForfeitureRate    
Stock Option Plans Activity and Related Information        
Outstanding beginning of period, shares 1,397,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber 1,476,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber    
Outstanding beginning of period, weighted-average exercise price (in dollars per share) $ 21.17us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice $ 19.01us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice    
Granted, shares 184,706us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross 92,946us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross    
Granted, weighted-average exercise price (in dollars per share) $ 36.67us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice $ 43.27us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice    
Exercised, shares (46,000)us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised (34,000)us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised    
Exercised, weighted-average exercise price (in dollars per share) $ 19.36us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice $ 18.57us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice    
Forfeited, shares 0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod (2,000)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod    
Forfeited, weighted-average exercise price (in dollars per share) $ 0.00us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice $ 26.95us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice    
Outstanding end of period, shares 1,536,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber 1,533,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber    
Outstanding end of period, weighted-average exercise price (in dollars per share) $ 23.09us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice $ 20.48us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice    
Expected to vest after applying forfeiture rate, shares 1,511,000fele_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExpectedToVestNetOfForfeitureRateNumber 1,511,000fele_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExpectedToVestNetOfForfeitureRateNumber    
Expected to vest after applying forfeiture rate, weighted-average exercise price (in dollars per share) $ 22.86fele_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExpectedToVestNetOfForfeitureRateWeightedAverageExercisePrice $ 20.31fele_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExpectedToVestNetOfForfeitureRateWeightedAverageExercisePrice    
Vested and exercisable end of period, shares 1,124,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableNumber 1,070,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableNumber    
Vested and exercisable end of period, weighted-average exercise price (in dollars per share) $ 18.75us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageExercisePrice $ 16.34us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageExercisePrice    
Summary of Weighted Average Remaining Contractual Term and Aggregate Intrinsic Value        
Outstanding end of period, weighted-average remaining contractual term (in years) 5 years 10 months 13 days      
Outstanding end of period, aggregate intrinsic value (in dollars) $ 23,421,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingAggregateIntrinsicValue      
Expected to vest after applying forfeiture rate, weighted-average remaining contractual term (in years) 5 years 9 months 25 days      
Expected to vest after applying forfeiture rate, aggregate intrinsic value (in dollars) 23,365,000fele_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExpectedToVestNetOfForfeitureRateAggregateIntrinsicValue      
Vested and exercisable end of period, weighted-average remaining contractual term (in years) 4 years 9 months 7 days      
Vested and exercisable end of period, aggregate intrinsic value (in dollars) 21,781,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableAggregateIntrinsicValue      
Intrinsic value of options exercised (in dollars) 800,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue 800,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue    
Stock/Stock Unit Award Activity and Related Information        
Non-vested at beginning of period, shares 554,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber 551,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber    
Non-vested at beginning of period, weighted-average grant date fair value (in dollars per share) $ 32.72us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue $ 24.75us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue    
Awarded, shares 120,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod 172,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod    
Awarded, weighted-average grant date fair value (in dollars per share) $ 36.67us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue $ 43.37us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue    
Vested, shares (74,000)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod (110,000)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod    
Vested, weighted-average grant date fair value (in dollars per share) $ 25.01us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue $ 15.75us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue    
Forfeited, shares 0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod (56,000)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod    
Forfeited, weighted-average grant date fair value (in dollars per share) $ 0.00us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue $ 27.81us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue    
Non-vested at end of period, shares 600,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber 557,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber    
Non-vested at the end of period, weighted-average grant date fair value (in dollars per share) $ 34.47us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue $ 31.96us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue    
Options        
Summary of Weighted Average Remaining Contractual Term and Aggregate Intrinsic Value        
Total unrecognized compensation cost related to nonvested share-based compensation (in dollars) 2,500,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
     
Total unrecognized compensation cost, recognized over a weighted-average period (in years) 3 years 0 months 10 days      
Awards        
Summary of Weighted Average Remaining Contractual Term and Aggregate Intrinsic Value        
Total unrecognized compensation cost related to nonvested share-based compensation (in dollars) $ 11,700,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= fele_EmployeeStockAwardMember
     
Total unrecognized compensation cost, recognized over a weighted-average period (in years) 2 years 8 months 12 days      
2012 Stock Plan        
Share-based Compensation        
Authorized shares     2,400,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= fele_A2012StockPlanMember
 
2012 Stock Plan | Options        
Share-based Compensation        
Authorized shares     1,680,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_PlanNameAxis
= fele_A2012StockPlanMember
 
2012 Stock Plan | Employee Stock/Stock Unit Award        
Share-based Compensation        
Authorized shares     720,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_AwardTypeAxis
= fele_EmployeeStockAndStockUnitAwardMember
/ us-gaap_PlanNameAxis
= fele_A2012StockPlanMember
 
2009 Stock Plan        
Share-based Compensation        
Authorized shares       4,400,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= fele_A2009StockPlanMember
2009 Stock Plan | Options        
Share-based Compensation        
Authorized shares       3,200,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_PlanNameAxis
= fele_A2009StockPlanMember
2009 Stock Plan | Awards        
Share-based Compensation        
Authorized shares       1,200,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_AwardTypeAxis
= fele_EmployeeStockAwardMember
/ us-gaap_PlanNameAxis
= fele_A2009StockPlanMember