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Investment Securities - Additional Information on Securities in a Continuous Loss Position (Detail) (USD $)
In Thousands, unless otherwise specified
3 Months Ended 12 Months Ended
Mar. 31, 2015
Securities
Dec. 31, 2014
Securities
Schedule of Available-for-sale Securities [Line Items]    
Number of securities, available for sale securities 42ibkc_AvailableForSaleSecuritiesNumberOfSecuritiesUnrealizedLossPositionGreaterThan12Months 71ibkc_AvailableForSaleSecuritiesNumberOfSecuritiesUnrealizedLossPositionGreaterThan12Months
Number of securities, amortized costs $ 278,300ibkc_SecuritiesUnrealizedLossGreaterThan12MonthsAmortizedCost $ 574,840ibkc_SecuritiesUnrealizedLossGreaterThan12MonthsAmortizedCost
Number of securities, unrealized loss 4,002ibkc_SecuritiesUnrealizedLossGreaterThan12MonthsGrossUnrealizedLoss 10,390ibkc_SecuritiesUnrealizedLossGreaterThan12MonthsGrossUnrealizedLoss
Fannie Mae, Freddie Mac, or Ginnie Mae [Member]    
Schedule of Available-for-sale Securities [Line Items]    
Number of securities, available for sale securities 40ibkc_AvailableForSaleSecuritiesNumberOfSecuritiesUnrealizedLossPositionGreaterThan12Months
/ us-gaap_InvestmentTypeAxis
= ibkc_FannieMaeFreddieMacOrGinnieMaeMember
66ibkc_AvailableForSaleSecuritiesNumberOfSecuritiesUnrealizedLossPositionGreaterThan12Months
/ us-gaap_InvestmentTypeAxis
= ibkc_FannieMaeFreddieMacOrGinnieMaeMember
Number of securities, amortized costs 274,005ibkc_SecuritiesUnrealizedLossGreaterThan12MonthsAmortizedCost
/ us-gaap_InvestmentTypeAxis
= ibkc_FannieMaeFreddieMacOrGinnieMaeMember
566,113ibkc_SecuritiesUnrealizedLossGreaterThan12MonthsAmortizedCost
/ us-gaap_InvestmentTypeAxis
= ibkc_FannieMaeFreddieMacOrGinnieMaeMember
Number of securities, unrealized loss 3,950ibkc_SecuritiesUnrealizedLossGreaterThan12MonthsGrossUnrealizedLoss
/ us-gaap_InvestmentTypeAxis
= ibkc_FannieMaeFreddieMacOrGinnieMaeMember
10,254ibkc_SecuritiesUnrealizedLossGreaterThan12MonthsGrossUnrealizedLoss
/ us-gaap_InvestmentTypeAxis
= ibkc_FannieMaeFreddieMacOrGinnieMaeMember
Political Subdivisions [Member]    
Schedule of Available-for-sale Securities [Line Items]    
Number of securities, available for sale securities 2ibkc_AvailableForSaleSecuritiesNumberOfSecuritiesUnrealizedLossPositionGreaterThan12Months
/ us-gaap_InvestmentTypeAxis
= ibkc_PoliticalSubdivisionsMember
5ibkc_AvailableForSaleSecuritiesNumberOfSecuritiesUnrealizedLossPositionGreaterThan12Months
/ us-gaap_InvestmentTypeAxis
= ibkc_PoliticalSubdivisionsMember
Number of securities, amortized costs 4,295ibkc_SecuritiesUnrealizedLossGreaterThan12MonthsAmortizedCost
/ us-gaap_InvestmentTypeAxis
= ibkc_PoliticalSubdivisionsMember
8,727ibkc_SecuritiesUnrealizedLossGreaterThan12MonthsAmortizedCost
/ us-gaap_InvestmentTypeAxis
= ibkc_PoliticalSubdivisionsMember
Number of securities, unrealized loss $ 52ibkc_SecuritiesUnrealizedLossGreaterThan12MonthsGrossUnrealizedLoss
/ us-gaap_InvestmentTypeAxis
= ibkc_PoliticalSubdivisionsMember
$ 136ibkc_SecuritiesUnrealizedLossGreaterThan12MonthsGrossUnrealizedLoss
/ us-gaap_InvestmentTypeAxis
= ibkc_PoliticalSubdivisionsMember