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Stock-Based Compensation (Narrative) (Details) (USD $)
In Millions, except Share data, unless otherwise specified
3 Months Ended 9 Months Ended 21 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Mar. 31, 2015
Mar. 31, 2014
Mar. 31, 2015
Jun. 30, 2014
Dec. 31, 2013
Long-Term Management Incentive Compensation Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Shares approved to be issued under plan 500,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
  500,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
  500,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
   
Shares issued     215,082us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
       
Performance awards earned, percentage payable as stock     60.00%flxs_PerformanceAwardsEarnedPercentagePayableAsStock
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
       
Performance awards earned, percentage payable as cash     40.00%flxs_PerformanceAwardsEarnedPercentagePayableAsCash
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
       
Cash awards payable within current liabilities $ 0.5us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
  $ 0.5us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
  $ 0.5us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
$ 0.7us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
 
Cash awards payable within long-term liabilities 0us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
  0us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
  0us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
0.4us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
 
Compensation cost 0.1us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
0.4us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
0.3us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
1.0us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
     
Long-Term Management Incentive Compensation Plan [Member] | 2013-2015[Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Compensation cost     0.9us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_CreationDateAxis
= flxs_TwoThousandThirteenToTwoThousandFifteenMember
/ us-gaap_PlanNameAxis
= flxs_LongTermManagementIncentiveCompensationPlanMember
       
Stock Option Plans [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Period options are excercisable     10 years        
New Long-Term Management Incentive Compensation Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Shares approved to be issued under plan             700,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= flxs_NewLongTermManagementIncentiveCompensationPlanMember
Compensation cost 0.3us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_PlanNameAxis
= flxs_NewLongTermManagementIncentiveCompensationPlanMember
  0.9us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_PlanNameAxis
= flxs_NewLongTermManagementIncentiveCompensationPlanMember
       
New Long-Term Management Incentive Compensation Plan [Member] | 2015-2017[Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Compensation cost     1.1us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_CreationDateAxis
= flxs_TwoThousandFifteenToTwoThousandSeventeenMember
/ us-gaap_PlanNameAxis
= flxs_NewLongTermManagementIncentiveCompensationPlanMember
       
New Omnibus Stock Plan [Member]              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Shares approved to be issued under plan 700,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= flxs_NewOmnibusStockPlanMember
  700,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= flxs_NewOmnibusStockPlanMember
  700,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= flxs_NewOmnibusStockPlanMember
   
Compensation cost         $ 0.4us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_PlanNameAxis
= flxs_NewOmnibusStockPlanMember
   
Period options are excercisable     10 years        
Shares available for future grants 594,900us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= flxs_NewOmnibusStockPlanMember
  594,900us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= flxs_NewOmnibusStockPlanMember
  594,900us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= flxs_NewOmnibusStockPlanMember