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Supplemental Disclosure for Earnings Per Share (Earnings Per Share Information) (Detail) (USD $)
In Thousands, except Share data, unless otherwise specified
3 Months Ended 6 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Mar. 31, 2015
Mar. 31, 2014
Earnings:        
Net income $ 1,527us-gaap_NetIncomeLoss $ 1,536us-gaap_NetIncomeLoss $ 2,727us-gaap_NetIncomeLoss $ 2,564us-gaap_NetIncomeLoss
Less: Preferred stock dividends declared (43)us-gaap_PreferredStockDividendsIncomeStatementImpact (43)us-gaap_PreferredStockDividendsIncomeStatementImpact (86)us-gaap_PreferredStockDividendsIncomeStatementImpact (86)us-gaap_PreferredStockDividendsIncomeStatementImpact
Net Income Available to Common Shareholders 1,484us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 1,493us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 2,641us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 2,478us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic
Shares:        
Weighted average common shares outstanding 2,138,931us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 2,140,414us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 2,125,369us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 2,149,426us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Net income per common share, basic $ 0.69us-gaap_EarningsPerShareBasic $ 0.70us-gaap_EarningsPerShareBasic $ 1.24us-gaap_EarningsPerShareBasic $ 1.15us-gaap_EarningsPerShareBasic
Earnings:        
Net income 1,527us-gaap_NetIncomeLoss 1,536us-gaap_NetIncomeLoss 2,727us-gaap_NetIncomeLoss 2,564us-gaap_NetIncomeLoss
Less: Preferred stock dividends declared (43)us-gaap_PreferredStockDividendsIncomeStatementImpact (43)us-gaap_PreferredStockDividendsIncomeStatementImpact (86)us-gaap_PreferredStockDividendsIncomeStatementImpact (86)us-gaap_PreferredStockDividendsIncomeStatementImpact
Net income available to common shareholders $ 1,484us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted $ 1,493us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted $ 2,641us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted $ 2,478us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted
Shares:        
Weighted average common shares outstanding 2,138,931us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 2,140,414us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 2,125,369us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 2,149,426us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Add: Dilutive effect of outstanding options 96,436us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements 93,337us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements 96,967us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements 91,359us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements
Add: Dilutive effect of nonvested restricted stock 10,004fsfg_IncrementalCommonSharesAttributableToRestrictedStock 15,210fsfg_IncrementalCommonSharesAttributableToRestrictedStock 9,238fsfg_IncrementalCommonSharesAttributableToRestrictedStock 14,214fsfg_IncrementalCommonSharesAttributableToRestrictedStock
Weighted average common shares outstanding as adjusted 2,245,371us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 2,248,961us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 2,231,574us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 2,254,999us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
Net income per common share, diluted $ 0.66us-gaap_EarningsPerShareDiluted $ 0.66us-gaap_EarningsPerShareDiluted $ 1.18us-gaap_EarningsPerShareDiluted $ 1.10us-gaap_EarningsPerShareDiluted