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GOODWILL AND OTHER INTANGIBLE ASSETS (Intangible Assets) (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Apr. 04, 2015
Mar. 29, 2014
Jan. 03, 2015
Intangible Assets      
Gross carrying amount, amortized intangibles $ 160.2us-gaap_FiniteLivedIntangibleAssetsGross   $ 163.8us-gaap_FiniteLivedIntangibleAssetsGross
Accumulated amortization (55.2)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization   (54.2)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
Gross carrying amount, total intangibles 208.7fele_IntangibleAssetsGrossIncludingAmortizedAndUnamortizedIntangibles   214.5fele_IntangibleAssetsGrossIncludingAmortizedAndUnamortizedIntangibles
Amortization expense, intangible assets 2.2us-gaap_AmortizationOfIntangibleAssets 2.0us-gaap_AmortizationOfIntangibleAssets  
Future Amortization Expense      
2015 8.7us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths    
2016 8.7us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo    
2017 8.5us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree    
2018 8.5us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour    
2019 8.2us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive    
Patents      
Intangible Assets      
Gross carrying amount, amortized intangibles 7.5us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
  7.6us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
Accumulated amortization (6.1)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
  (6.1)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
Supply Agreements      
Intangible Assets      
Gross carrying amount, amortized intangibles 4.4us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ServiceAgreementsMember
  4.4us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ServiceAgreementsMember
Accumulated amortization (4.4)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ServiceAgreementsMember
  (4.4)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ServiceAgreementsMember
Technology      
Intangible Assets      
Gross carrying amount, amortized intangibles 7.5us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= fele_TechnologyMember
  7.5us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= fele_TechnologyMember
Accumulated amortization (4.4)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= fele_TechnologyMember
  (4.3)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= fele_TechnologyMember
Customer Relationships      
Intangible Assets      
Gross carrying amount, amortized intangibles 137.1us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
  140.2us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Accumulated amortization (37.6)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
  (36.5)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Software      
Intangible Assets      
Gross carrying amount, amortized intangibles 2.7us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
  2.9us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
Accumulated amortization (1.7)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
  (1.7)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
Other      
Intangible Assets      
Gross carrying amount, amortized intangibles 1.0us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember
  1.2us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember
Accumulated amortization (1.0)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember
  (1.2)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember
Trade Names      
Intangible Assets      
Gross carrying amount, unamortized intangibles $ 48.5us-gaap_IndefiniteLivedIntangibleAssetsExcludingGoodwill
/ us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember
  $ 50.7us-gaap_IndefiniteLivedIntangibleAssetsExcludingGoodwill
/ us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember