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Investment Securities (Amortized Cost And Fair Value Of Investment Securities By Contractual Maturity) (Detail) (USD $)
In Thousands, unless otherwise specified
Mar. 31, 2015
Sep. 30, 2014
Investments Classified by Contractual Maturity Date [Line Items]    
Available for Sale, amortized cost, Due within one year $ 530us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost  
Available for Sale, amortized cost, Due after one year through five years 5,374us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost  
Available for Sale, amortized cost, Due after five years through ten years 23,662us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost  
Available for Sale, amortized cost, Due after ten years 62,249us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost  
Available-for-sale Securities, Debt Maturities, Amortized Cost Basis, Total 91,815us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis  
Available-for-Sale, Amortized Cost 175,026us-gaap_AvailableForSaleSecuritiesAmortizedCost 178,517us-gaap_AvailableForSaleSecuritiesAmortizedCost
Available for Sale, fair value, Due within one year 534us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue  
Available for Sale, fair value, Due after one year through five years 5,652us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue  
Available for Sale, fair value, Due after five years through ten years 25,094us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue  
Available for Sale, fair value, Due after ten years 65,712us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue  
Available-for-sale Securities, Debt Maturities, Fair Value, Total 96,992us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue  
Available-for-sale, Fair Value 183,375us-gaap_AvailableForSaleSecurities 184,697us-gaap_AvailableForSaleSecurities
Held to Maturity, amortized cost, Due within one year 604us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearNetCarryingAmount  
Held to Maturity, amortized cost, Due after one year through five years 1,779us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount  
Held to Maturity, amortized cost, Due after five years through ten years 1,386us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsNetCarryingAmount  
Held to Maturity, amortized cost, Due after ten years 841us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount  
Held-to-maturity Securities, Debt Maturities, Net Carrying Amount 4,610us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateNetCarryingAmount  
Held-to-Maturity, Amortized Cost 5,012us-gaap_HeldToMaturitySecurities 5,419us-gaap_HeldToMaturitySecurities
Held to Maturity, fair value, Due within one year 655us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithinOneYearFairValue  
Held to Maturity, fair value, Due after one year through five years 2,093us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue  
Held to Maturity, fair value, Due after five years through ten years 1,579us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue  
Held to Maturity, fair value, Due after ten years 931us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue  
Held-to-maturity Securities, Debt Maturities, Fair Value 5,258us-gaap_HeldToMaturitySecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue  
Held-to-Maturity, Fair Value 5,693us-gaap_HeldToMaturitySecuritiesFairValue 5,849us-gaap_HeldToMaturitySecuritiesFairValue
Collateralized Mortgage Obligations    
Investments Classified by Contractual Maturity Date [Line Items]    
Available-for-Sale, Amortized Cost 27,876us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_InvestmentTypeAxis
= us-gaap_CollateralizedMortgageObligationsMember
 
Available-for-sale, Fair Value 28,476us-gaap_AvailableForSaleSecurities
/ us-gaap_InvestmentTypeAxis
= us-gaap_CollateralizedMortgageObligationsMember
 
Held-to-Maturity, Amortized Cost 0us-gaap_HeldToMaturitySecurities
/ us-gaap_InvestmentTypeAxis
= us-gaap_CollateralizedMortgageObligationsMember
 
Held-to-Maturity, Fair Value 0us-gaap_HeldToMaturitySecuritiesFairValue
/ us-gaap_InvestmentTypeAxis
= us-gaap_CollateralizedMortgageObligationsMember
 
Asset-backed Securities    
Investments Classified by Contractual Maturity Date [Line Items]    
Available-for-Sale, Amortized Cost 5,208us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_InvestmentTypeAxis
= us-gaap_AssetBackedSecuritiesMember
 
Available-for-sale, Fair Value 6,780us-gaap_AvailableForSaleSecurities
/ us-gaap_InvestmentTypeAxis
= us-gaap_AssetBackedSecuritiesMember
 
Held-to-Maturity, Amortized Cost 0us-gaap_HeldToMaturitySecurities
/ us-gaap_InvestmentTypeAxis
= us-gaap_AssetBackedSecuritiesMember
 
Held-to-Maturity, Fair Value 0us-gaap_HeldToMaturitySecuritiesFairValue
/ us-gaap_InvestmentTypeAxis
= us-gaap_AssetBackedSecuritiesMember
 
SBA certificates    
Investments Classified by Contractual Maturity Date [Line Items]    
Available-for-Sale, Amortized Cost 1,619us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_InvestmentTypeAxis
= fsfg_SbaCertificatesMember
1,753us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_InvestmentTypeAxis
= fsfg_SbaCertificatesMember
Available-for-sale, Fair Value 1,631us-gaap_AvailableForSaleSecurities
/ us-gaap_InvestmentTypeAxis
= fsfg_SbaCertificatesMember
 
Held-to-Maturity, Amortized Cost 0us-gaap_HeldToMaturitySecurities
/ us-gaap_InvestmentTypeAxis
= fsfg_SbaCertificatesMember
 
Held-to-Maturity, Fair Value 0us-gaap_HeldToMaturitySecuritiesFairValue
/ us-gaap_InvestmentTypeAxis
= fsfg_SbaCertificatesMember
 
Mortgage-backed securities    
Investments Classified by Contractual Maturity Date [Line Items]    
Available-for-Sale, Amortized Cost 48,508us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_InvestmentTypeAxis
= us-gaap_MortgageBackedSecuritiesMember
 
Available-for-sale, Fair Value 49,496us-gaap_AvailableForSaleSecurities
/ us-gaap_InvestmentTypeAxis
= us-gaap_MortgageBackedSecuritiesMember
 
Held-to-Maturity, Amortized Cost 402us-gaap_HeldToMaturitySecurities
/ us-gaap_InvestmentTypeAxis
= us-gaap_MortgageBackedSecuritiesMember
 
Held-to-Maturity, Fair Value $ 435us-gaap_HeldToMaturitySecuritiesFairValue
/ us-gaap_InvestmentTypeAxis
= us-gaap_MortgageBackedSecuritiesMember