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Derivative Instruments and Other Hedging Activities - Schedule of Outstanding Derivative Instruments (Detail) (Not Designated as Hedging Instruments [Member], USD $)
In Thousands, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Derivative Asset, Notional Amount $ 1,130,568us-gaap_DerivativeAssetNotionalAmount $ 823,180us-gaap_DerivativeAssetNotionalAmount
Derivative Liability, Notional Amount 1,231,363us-gaap_DerivativeLiabilityNotionalAmount 1,062,436us-gaap_DerivativeLiabilityNotionalAmount
Forward Sales Contracts [Member]
   
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Derivative Asset, Notional Amount 139,339us-gaap_DerivativeAssetNotionalAmount
/ us-gaap_DerivativeByNatureAxis
= us-gaap_ForwardContractsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
15,897us-gaap_DerivativeAssetNotionalAmount
/ us-gaap_DerivativeByNatureAxis
= us-gaap_ForwardContractsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Derivative Liability, Notional Amount 514,645us-gaap_DerivativeLiabilityNotionalAmount
/ us-gaap_DerivativeByNatureAxis
= us-gaap_ForwardContractsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
391,992us-gaap_DerivativeLiabilityNotionalAmount
/ us-gaap_DerivativeByNatureAxis
= us-gaap_ForwardContractsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Interest Rate Contracts [Member]
   
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Derivative Asset, Notional Amount 502,020us-gaap_DerivativeAssetNotionalAmount
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
444,703us-gaap_DerivativeAssetNotionalAmount
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Derivative Liability, Notional Amount 502,020us-gaap_DerivativeLiabilityNotionalAmount
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
444,703us-gaap_DerivativeLiabilityNotionalAmount
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Written and Purchased Options [Member]
   
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Derivative Asset, Notional Amount 489,209us-gaap_DerivativeAssetNotionalAmount
/ us-gaap_DerivativeInstrumentRiskAxis
= ibkc_WrittenAndPurchaseOptionsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
362,580us-gaap_DerivativeAssetNotionalAmount
/ us-gaap_DerivativeInstrumentRiskAxis
= ibkc_WrittenAndPurchaseOptionsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Derivative Liability, Notional Amount 214,698us-gaap_DerivativeLiabilityNotionalAmount
/ us-gaap_DerivativeInstrumentRiskAxis
= ibkc_WrittenAndPurchaseOptionsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
225,741us-gaap_DerivativeLiabilityNotionalAmount
/ us-gaap_DerivativeInstrumentRiskAxis
= ibkc_WrittenAndPurchaseOptionsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Other Assets [Member]    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Derivative Asset, Fair Value 41,120us-gaap_DerivativeFairValueOfDerivativeAsset
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherAssetsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
32,903us-gaap_DerivativeFairValueOfDerivativeAsset
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherAssetsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Other Assets [Member] | Forward Sales Contracts [Member]    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Derivative Asset, Fair Value 1,125us-gaap_DerivativeFairValueOfDerivativeAsset
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherAssetsMember
/ us-gaap_DerivativeByNatureAxis
= us-gaap_ForwardContractsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
25us-gaap_DerivativeFairValueOfDerivativeAsset
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherAssetsMember
/ us-gaap_DerivativeByNatureAxis
= us-gaap_ForwardContractsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Other Assets [Member] | Interest Rate Contracts [Member]    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Derivative Asset, Fair Value 19,970us-gaap_DerivativeFairValueOfDerivativeAsset
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherAssetsMember
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
15,434us-gaap_DerivativeFairValueOfDerivativeAsset
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherAssetsMember
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Other Assets [Member] | Written and Purchased Options [Member]    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Derivative Asset, Fair Value 20,025us-gaap_DerivativeFairValueOfDerivativeAsset
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherAssetsMember
/ us-gaap_DerivativeInstrumentRiskAxis
= ibkc_WrittenAndPurchaseOptionsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
17,444us-gaap_DerivativeFairValueOfDerivativeAsset
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherAssetsMember
/ us-gaap_DerivativeInstrumentRiskAxis
= ibkc_WrittenAndPurchaseOptionsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Other Liabilities [Member]    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Derivative Liability, Fair Value 35,704us-gaap_DerivativeFairValueOfDerivativeLiability
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherLiabilitiesMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
31,354us-gaap_DerivativeFairValueOfDerivativeLiability
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherLiabilitiesMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Other Liabilities [Member] | Forward Sales Contracts [Member]    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Derivative Liability, Fair Value 3,910us-gaap_DerivativeFairValueOfDerivativeLiability
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherLiabilitiesMember
/ us-gaap_DerivativeByNatureAxis
= us-gaap_ForwardContractsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
2,556us-gaap_DerivativeFairValueOfDerivativeLiability
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherLiabilitiesMember
/ us-gaap_DerivativeByNatureAxis
= us-gaap_ForwardContractsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Other Liabilities [Member] | Interest Rate Contracts [Member]    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Derivative Liability, Fair Value 19,970us-gaap_DerivativeFairValueOfDerivativeLiability
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherLiabilitiesMember
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
15,434us-gaap_DerivativeFairValueOfDerivativeLiability
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherLiabilitiesMember
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Other Liabilities [Member] | Written and Purchased Options [Member]    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Derivative Liability, Fair Value $ 11,824us-gaap_DerivativeFairValueOfDerivativeLiability
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherLiabilitiesMember
/ us-gaap_DerivativeInstrumentRiskAxis
= ibkc_WrittenAndPurchaseOptionsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
$ 13,364us-gaap_DerivativeFairValueOfDerivativeLiability
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherLiabilitiesMember
/ us-gaap_DerivativeInstrumentRiskAxis
= ibkc_WrittenAndPurchaseOptionsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember