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Income Taxes - Additional Information (Detail) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Income Tax Disclosure [Abstract]      
Tax receivable, federal and state income taxes $ 2,000,000us-gaap_IncomeTaxReceivable    
Tax payable, federal and state income taxes   8,000,000us-gaap_AccruedIncomeTaxes  
Income tax rate reconciliation, federal statutory income tax rate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate    
Net tax benefit (417,000)us-gaap_IncomeTaxReconciliationOtherReconcilingItems 1,257,000us-gaap_IncomeTaxReconciliationOtherReconcilingItems 1,313,000us-gaap_IncomeTaxReconciliationOtherReconcilingItems
Federal tax credits received 3,200,000us-gaap_IncomeTaxReconciliationTaxCreditsOther    
Other discrete items 3,600,000us-gaap_IncomeTaxReconciliationOtherAdjustments    
Retained earnings of prior period 21,900,000ibkc_RetainedEarningsNotSubjectToIncomeTax 21,900,000ibkc_RetainedEarningsNotSubjectToIncomeTax  
Valuation Allowance 0us-gaap_DeferredTaxAssetsValuationAllowance 0us-gaap_DeferredTaxAssetsValuationAllowance  
Interest or penalties recognized $ 0us-gaap_IncomeTaxExaminationPenaltiesAndInterestExpense $ 0us-gaap_IncomeTaxExaminationPenaltiesAndInterestExpense $ 0us-gaap_IncomeTaxExaminationPenaltiesAndInterestExpense