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EMPLOYEE BENEFIT PLANS (Funds Invested in Equity, Fixed income, and Other Investments and Fair Values of Pension Plan Assets by Asset Category) (Details) (USD $)
In Millions, unless otherwise specified
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Defined Benefit Plan Disclosure      
Plan asset allocations 100.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations    
Equity Securities      
Defined Benefit Plan Disclosure      
Plan asset allocations 33.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
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= us-gaap_EquitySecuritiesMember
   
U.S. Large Cap      
Defined Benefit Plan Disclosure      
Plan asset allocations 14.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
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= fele_USLargeCapMember
   
Fair value of plan assets (in dollars) $ 23.0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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$ 69.4us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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U.S. Small/ Mid Cap      
Defined Benefit Plan Disclosure      
Plan asset allocations 6.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
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= fele_USSmallMidCapMember
   
Fair value of plan assets (in dollars) 8.9us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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= fele_USSmallMidCapMember
12.8us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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= fele_USSmallMidCapMember
 
World Equity ex- U.S.      
Defined Benefit Plan Disclosure      
Plan asset allocations 13.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
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= fele_WorldEquityExUSMember
   
Fair value of plan assets (in dollars) 19.9us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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25.6us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Fixed Income Securities      
Defined Benefit Plan Disclosure      
Plan asset allocations 64.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
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U.S. Treasury and Government Agency Securities      
Defined Benefit Plan Disclosure      
Plan asset allocations 18.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
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Fair value of plan assets (in dollars) 27.9us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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U.S Core Fixed Income      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) 0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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17.9us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Long Duration Bond      
Defined Benefit Plan Disclosure      
Plan asset allocations 39.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
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Fair value of plan assets (in dollars) 62.7us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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11.5us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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High Yield Fixed Income      
Defined Benefit Plan Disclosure      
Plan asset allocations 4.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
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Fair value of plan assets (in dollars) 7.0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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4.4us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Emerging Markets Debt      
Defined Benefit Plan Disclosure      
Plan asset allocations 3.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
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= fele_EmergingMarketsDebtMember
   
Fair value of plan assets (in dollars) 5.4us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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3.7us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Insurance Contracts      
Defined Benefit Plan Disclosure      
Plan asset allocations 3.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
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Fair value of plan assets (in dollars) 5.2us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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5.8us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Quoted Prices in Active Markets for Identical Assets (Level 1)      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) 126.9us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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145.3us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Quoted Prices in Active Markets for Identical Assets (Level 1) | U.S. Large Cap      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) 23.0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Quoted Prices in Active Markets for Identical Assets (Level 1) | U.S. Small/ Mid Cap      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) 8.9us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Quoted Prices in Active Markets for Identical Assets (Level 1) | World Equity ex- U.S.      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) 19.9us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Quoted Prices in Active Markets for Identical Assets (Level 1) | U.S. Treasury and Government Agency Securities      
Defined Benefit Plan Disclosure      
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Quoted Prices in Active Markets for Identical Assets (Level 1) | U.S Core Fixed Income      
Defined Benefit Plan Disclosure      
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Quoted Prices in Active Markets for Identical Assets (Level 1) | Long Duration Bond      
Defined Benefit Plan Disclosure      
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Quoted Prices in Active Markets for Identical Assets (Level 1) | High Yield Fixed Income      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) 7.0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Quoted Prices in Active Markets for Identical Assets (Level 1) | Emerging Markets Debt      
Defined Benefit Plan Disclosure      
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Quoted Prices in Active Markets for Identical Assets (Level 1) | Insurance Contracts      
Defined Benefit Plan Disclosure      
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Significant Other Observable Inputs (Level 2)      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) 33.1us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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5.8us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Significant Other Observable Inputs (Level 2) | U.S. Large Cap      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) 0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Significant Other Observable Inputs (Level 2) | U.S. Small/ Mid Cap      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) 0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Significant Other Observable Inputs (Level 2) | World Equity ex- U.S.      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) 0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Significant Other Observable Inputs (Level 2) | U.S. Treasury and Government Agency Securities      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) 27.9us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Significant Other Observable Inputs (Level 2) | U.S Core Fixed Income      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) 0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Significant Other Observable Inputs (Level 2) | Long Duration Bond      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) 0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Significant Other Observable Inputs (Level 2) | High Yield Fixed Income      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) 0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Significant Other Observable Inputs (Level 2) | Emerging Markets Debt      
Defined Benefit Plan Disclosure      
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Significant Other Observable Inputs (Level 2) | Insurance Contracts      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) 5.2us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
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Significant Unobservable Inputs (Level 3)      
Defined Benefit Plan Disclosure      
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Significant Unobservable Inputs (Level 3) | U.S. Large Cap      
Defined Benefit Plan Disclosure      
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Significant Unobservable Inputs (Level 3) | U.S. Small/ Mid Cap      
Defined Benefit Plan Disclosure      
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Significant Unobservable Inputs (Level 3) | World Equity ex- U.S.      
Defined Benefit Plan Disclosure      
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Significant Unobservable Inputs (Level 3) | U.S. Treasury and Government Agency Securities      
Defined Benefit Plan Disclosure      
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Significant Unobservable Inputs (Level 3) | U.S Core Fixed Income      
Defined Benefit Plan Disclosure      
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Significant Unobservable Inputs (Level 3) | Long Duration Bond      
Defined Benefit Plan Disclosure      
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Significant Unobservable Inputs (Level 3) | High Yield Fixed Income      
Defined Benefit Plan Disclosure      
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Significant Unobservable Inputs (Level 3) | Emerging Markets Debt      
Defined Benefit Plan Disclosure      
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Significant Unobservable Inputs (Level 3) | Insurance Contracts      
Defined Benefit Plan Disclosure      
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/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= fele_InsuranceContractsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
 
Pension Benefits      
Defined Benefit Plan Disclosure      
Fair value of plan assets (in dollars) $ 160.0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionPlansDefinedBenefitMember
$ 151.1us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionPlansDefinedBenefitMember
$ 130.2us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionPlansDefinedBenefitMember