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Investment Securities - Schedule of Exposure to Investment Security Issuers Exceed Ten Percentage of Shareholders' Equity (Detail) (USD $)
In Thousands, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Schedule of Investments [Line Items]    
Amortized Cost $ 2,147,276us-gaap_AvailableForSaleSecuritiesAmortizedCost $ 1,963,046us-gaap_AvailableForSaleSecuritiesAmortizedCost
Market Value 2,158,853us-gaap_AvailableForSaleSecurities 1,936,797us-gaap_AvailableForSaleSecurities
Investment Concentration Risk [Member]    
Schedule of Investments [Line Items]    
Amortized Cost 1,928,433us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_ConcentrationRiskByTypeAxis
= ibkc_InvestmentConcentrationRiskMember
 
Market Value 1,933,168us-gaap_AvailableForSaleSecurities
/ us-gaap_ConcentrationRiskByTypeAxis
= ibkc_InvestmentConcentrationRiskMember
 
Investment Concentration Risk [Member] | Federal National Mortgage Association (Fannie Mae) [Member]    
Schedule of Investments [Line Items]    
Amortized Cost 1,220,841us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_ConcentrationRiskByTypeAxis
= ibkc_InvestmentConcentrationRiskMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FederalNationalMortgageAssociationCertificatesAndObligationsFNMAMember
 
Market Value 1,226,654us-gaap_AvailableForSaleSecurities
/ us-gaap_ConcentrationRiskByTypeAxis
= ibkc_InvestmentConcentrationRiskMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FederalNationalMortgageAssociationCertificatesAndObligationsFNMAMember
 
Investment Concentration Risk [Member] | Federal Home Loan Mortgage Corporation (Freddie Mac) [Member]    
Schedule of Investments [Line Items]    
Amortized Cost 707,592us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_ConcentrationRiskByTypeAxis
= ibkc_InvestmentConcentrationRiskMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FederalHomeLoanMortgageCorporationCertificatesAndObligationsFHLMCMember
 
Market Value $ 706,514us-gaap_AvailableForSaleSecurities
/ us-gaap_ConcentrationRiskByTypeAxis
= ibkc_InvestmentConcentrationRiskMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FederalHomeLoanMortgageCorporationCertificatesAndObligationsFHLMCMember