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SEGMENT AND GEOGRAPHIC INFORMATION (Details) (USD $)
3 Months Ended 12 Months Ended
Jan. 03, 2015
Sep. 27, 2014
Jun. 28, 2014
Mar. 29, 2014
Dec. 28, 2013
Sep. 28, 2013
Jun. 29, 2013
Mar. 30, 2013
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Segment Reporting Information                      
Net sales to external customers $ 253,800,000us-gaap_SalesRevenueNet $ 278,100,000us-gaap_SalesRevenueNet $ 284,500,000us-gaap_SalesRevenueNet $ 231,400,000us-gaap_SalesRevenueNet $ 229,800,000us-gaap_SalesRevenueNet $ 249,800,000us-gaap_SalesRevenueNet $ 263,400,000us-gaap_SalesRevenueNet $ 222,500,000us-gaap_SalesRevenueNet $ 1,047,777,000us-gaap_SalesRevenueNet $ 965,462,000us-gaap_SalesRevenueNet $ 891,345,000us-gaap_SalesRevenueNet
Operating income (loss)                 100,088,000us-gaap_OperatingIncomeLoss 123,781,000us-gaap_OperatingIncomeLoss 112,957,000us-gaap_OperatingIncomeLoss
Total assets 1,075,887,000us-gaap_Assets       1,051,873,000us-gaap_Assets       1,075,887,000us-gaap_Assets 1,051,873,000us-gaap_Assets  
Depreciation                 28,100,000us-gaap_Depreciation 23,400,000us-gaap_Depreciation 21,100,000us-gaap_Depreciation
Amortization                 9,100,000us-gaap_AdjustmentForAmortization 8,000,000us-gaap_AdjustmentForAmortization 7,200,000us-gaap_AdjustmentForAmortization
Capital expenditures                 42,400,000fele_CapitalExpendituresIncurredInYearPaidAndNotPaid 67,200,000fele_CapitalExpendituresIncurredInYearPaidAndNotPaid 42,100,000fele_CapitalExpendituresIncurredInYearPaidAndNotPaid
Long-lived assets 602,400,000us-gaap_NoncurrentAssets       576,500,000us-gaap_NoncurrentAssets       602,400,000us-gaap_NoncurrentAssets 576,500,000us-gaap_NoncurrentAssets  
Water Systems                      
Segment Reporting Information                      
Net sales to external customers                 824,600,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
766,400,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
715,000,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
Operating income (loss)                 103,900,000us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
131,300,000us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
124,100,000us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
Total assets 757,500,000us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
      714,700,000us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
      757,500,000us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
714,700,000us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
 
Depreciation                 19,900,000us-gaap_Depreciation
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
18,100,000us-gaap_Depreciation
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
16,900,000us-gaap_Depreciation
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
Amortization                 7,100,000us-gaap_AdjustmentForAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
6,000,000us-gaap_AdjustmentForAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
5,700,000us-gaap_AdjustmentForAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
Capital expenditures                 33,800,000fele_CapitalExpendituresIncurredInYearPaidAndNotPaid
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
31,000,000fele_CapitalExpendituresIncurredInYearPaidAndNotPaid
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
25,200,000fele_CapitalExpendituresIncurredInYearPaidAndNotPaid
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
Fueling Systems                      
Segment Reporting Information                      
Net sales to external customers                 223,200,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
199,100,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
176,300,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
Operating income (loss)                 49,700,000us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
42,600,000us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
36,600,000us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
Total assets 252,700,000us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
      247,900,000us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
      252,700,000us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
247,900,000us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
 
Depreciation                 2,400,000us-gaap_Depreciation
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
1,900,000us-gaap_Depreciation
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
1,800,000us-gaap_Depreciation
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
Amortization                 1,800,000us-gaap_AdjustmentForAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
1,900,000us-gaap_AdjustmentForAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
1,500,000us-gaap_AdjustmentForAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
Capital expenditures                 3,900,000fele_CapitalExpendituresIncurredInYearPaidAndNotPaid
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
4,000,000fele_CapitalExpendituresIncurredInYearPaidAndNotPaid
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
3,300,000fele_CapitalExpendituresIncurredInYearPaidAndNotPaid
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
Other                      
Segment Reporting Information                      
Net sales to external customers                 0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
Operating income (loss)                 (53,500,000)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
(50,100,000)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
(47,700,000)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
Total assets 65,700,000us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
      89,300,000us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
      65,700,000us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
89,300,000us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
 
Depreciation                 5,800,000us-gaap_Depreciation
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
3,400,000us-gaap_Depreciation
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
2,400,000us-gaap_Depreciation
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
Amortization                 200,000us-gaap_AdjustmentForAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
100,000us-gaap_AdjustmentForAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
0us-gaap_AdjustmentForAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
Capital expenditures                 4,700,000fele_CapitalExpendituresIncurredInYearPaidAndNotPaid
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
32,200,000fele_CapitalExpendituresIncurredInYearPaidAndNotPaid
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
13,600,000fele_CapitalExpendituresIncurredInYearPaidAndNotPaid
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
United States                      
Segment Reporting Information                      
Net sales to external customers                 485,500,000us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= country_US
460,500,000us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= country_US
428,500,000us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= country_US
Long-lived assets 418,000,000us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_US
      377,300,000us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_US
      418,000,000us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_US
377,300,000us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_US
 
Foreign                      
Segment Reporting Information                      
Net sales to external customers                 562,300,000us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= fele_GeographicalLocationsOtherThanUnitedStatesMember
505,000,000us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= fele_GeographicalLocationsOtherThanUnitedStatesMember
462,800,000us-gaap_SalesRevenueNet
/ us-gaap_StatementGeographicalAxis
= fele_GeographicalLocationsOtherThanUnitedStatesMember
Long-lived assets $ 184,400,000us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= fele_GeographicalLocationsOtherThanUnitedStatesMember
      $ 199,200,000us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= fele_GeographicalLocationsOtherThanUnitedStatesMember
      $ 184,400,000us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= fele_GeographicalLocationsOtherThanUnitedStatesMember
$ 199,200,000us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= fele_GeographicalLocationsOtherThanUnitedStatesMember
 
Credit Concentration Risk                      
Segment Reporting Information                      
Concentration risk, customer                 0 0  
Concentration risk, percentage                 10.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CreditConcentrationRiskMember
   
Customer Concentration Risk                      
Segment Reporting Information                      
Concentration risk, customer                 0 0 0
Concentration risk, percentage                 10.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember