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Credit Arrangements (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 9 Months Ended
Mar. 31, 2015
Mar. 31, 2015
Jan. 11, 2015
Dec. 31, 2014
Credit agreement capacity $ 65.0us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity $ 65.0us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity $ 25.0us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity  
Interest rate over LIBOR   (1.18%)flxs_LineOfCreditFacilityStatedInterestRateOverLondonInterbankOfferedRate    
Interest rate under prime rate   (1.25%)flxs_LineOfCreditFacilityInterestRateUnderPrimeRate    
Line of Credit Facility, Amount Outstanding 14.7us-gaap_LineOfCreditFacilityAmountOutstanding 14.7us-gaap_LineOfCreditFacilityAmountOutstanding    
Assets Held-in-trust 3.5us-gaap_AssetsHeldInTrust 3.5us-gaap_AssetsHeldInTrust    
Funded Debt to EBITDA covenant 2.5flxs_FundedDebtToEbitdaCovenant      
Letters Of Credit [Member]        
Credit agreement capacity 4.0us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
/ us-gaap_CreditFacilityAxis
= us-gaap_LetterOfCreditMember
4.0us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
/ us-gaap_CreditFacilityAxis
= us-gaap_LetterOfCreditMember
   
Line of Credit Facility, Amount Outstanding 2.9us-gaap_LineOfCreditFacilityAmountOutstanding
/ us-gaap_CreditFacilityAxis
= us-gaap_LetterOfCreditMember
2.9us-gaap_LineOfCreditFacilityAmountOutstanding
/ us-gaap_CreditFacilityAxis
= us-gaap_LetterOfCreditMember
   
Line of Credit Facility, Remaining Borrowing Capacity 47.4us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity
/ us-gaap_CreditFacilityAxis
= us-gaap_LetterOfCreditMember
47.4us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity
/ us-gaap_CreditFacilityAxis
= us-gaap_LetterOfCreditMember
   
Unsecured [Member]        
Credit agreement capacity $ 10.0us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
/ us-gaap_CreditFacilityAxis
= us-gaap_UnsecuredDebtMember
$ 10.0us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
/ us-gaap_CreditFacilityAxis
= us-gaap_UnsecuredDebtMember
  $ 8.0us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
/ us-gaap_CreditFacilityAxis
= us-gaap_UnsecuredDebtMember