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RESTRUCTURING (Details) (USD $)
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Jul. 01, 2014
Restructuring Cost and Reserve        
Restructuring expense $ 16,611,000us-gaap_RestructuringCharges $ 3,719,000us-gaap_RestructuringCharges $ 221,000us-gaap_RestructuringCharges  
Restructuring reserves 13,100,000us-gaap_RestructuringReserve 0us-gaap_RestructuringReserve    
Employee severance        
Restructuring Cost and Reserve        
Restructuring expense 14,700,000us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
     
Equipment relocation        
Restructuring Cost and Reserve        
Restructuring expense 700,000us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= fele_EquipmentRelocationMember
     
Asset write-off        
Restructuring Cost and Reserve        
Restructuring expense 200,000us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= fele_AssetWriteOffMember
     
Other        
Restructuring Cost and Reserve        
Restructuring expense 1,000,000us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
     
Water Systems        
Restructuring Cost and Reserve        
Restructuring expense 16,100,000us-gaap_RestructuringCharges
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
     
Water Systems | Employee severance        
Restructuring Cost and Reserve        
Restructuring expense 14,300,000us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
     
Water Systems | Equipment relocation        
Restructuring Cost and Reserve        
Restructuring expense 700,000us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= fele_EquipmentRelocationMember
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
     
Water Systems | Asset write-off        
Restructuring Cost and Reserve        
Restructuring expense 200,000us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= fele_AssetWriteOffMember
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
     
Water Systems | Other        
Restructuring Cost and Reserve        
Restructuring expense 900,000us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
/ us-gaap_StatementBusinessSegmentsAxis
= fele_WaterSystemsMember
     
Fueling Systems        
Restructuring Cost and Reserve        
Restructuring expense 500,000us-gaap_RestructuringCharges
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
     
Fueling Systems | Employee severance        
Restructuring Cost and Reserve        
Restructuring expense 400,000us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
     
Fueling Systems | Equipment relocation        
Restructuring Cost and Reserve        
Restructuring expense 0us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= fele_EquipmentRelocationMember
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
     
Fueling Systems | Asset write-off        
Restructuring Cost and Reserve        
Restructuring expense 0us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= fele_AssetWriteOffMember
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
     
Fueling Systems | Other        
Restructuring Cost and Reserve        
Restructuring expense 100,000us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
/ us-gaap_StatementBusinessSegmentsAxis
= fele_FuelingSystemsMember
     
Other        
Restructuring Cost and Reserve        
Restructuring expense 0us-gaap_RestructuringCharges
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
     
Other | Employee severance        
Restructuring Cost and Reserve        
Restructuring expense 0us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_EmployeeSeveranceMember
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
     
Other | Equipment relocation        
Restructuring Cost and Reserve        
Restructuring expense 0us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= fele_EquipmentRelocationMember
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
     
Other | Asset write-off        
Restructuring Cost and Reserve        
Restructuring expense 0us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= fele_AssetWriteOffMember
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
     
Other | Other        
Restructuring Cost and Reserve        
Restructuring expense 0us-gaap_RestructuringCharges
/ us-gaap_RestructuringCostAndReserveAxis
= us-gaap_OtherRestructuringMember
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
     
Wittlich Facility Closure        
Restructuring Cost and Reserve        
Restructuring and related cost, expected cost       $ 19,400,000us-gaap_RestructuringAndRelatedCostExpectedCost1
/ us-gaap_RestructuringPlanAxis
= fele_WittlichFacilityClosureMember