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Share-Based Compensation - Schedule of Weighted Average Remaining Life of Options Outstanding within Stated Exercise Prices (Detail) (USD $)
12 Months Ended
Dec. 31, 2014
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]  
Exercise Price Range Per Share, Options Outstanding, Number of Options 867,682us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
Exercise Price Range Per Share, Options Outstanding, Weighted Average Exercise Price $ 55.92us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
Exercise Price Range Per Share, Options Outstanding, Weighted Average Remaining Life 5 years 1 month 6 days
Exercise Price Range Per Share, Options Exercisable, Number of Options 562,752us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
Exercise Price Range Per Share, Options Exercisable, Weighted Average Exercise Price $ 55.92us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
Exercise Price Range Per Share From 34.33 to 51.69 [Member]  
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]  
Exercise Price Range Per Share, Options Outstanding, Number of Options 182,416us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromThirtyFourPointThreeThreeToFiftyOnePointSixNineMember
Exercise Price Range Per Share, Options Outstanding, Weighted Average Exercise Price $ 49.24us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromThirtyFourPointThreeThreeToFiftyOnePointSixNineMember
Exercise Price Range Per Share, Options Outstanding, Weighted Average Remaining Life 4 years 3 months 18 days
Exercise Price Range Per Share, Options Exercisable, Number of Options 118,312us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromThirtyFourPointThreeThreeToFiftyOnePointSixNineMember
Exercise Price Range Per Share, Options Exercisable, Weighted Average Exercise Price $ 48.53us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromThirtyFourPointThreeThreeToFiftyOnePointSixNineMember
Exercise Price Range Per Share, Minimum $ 34.33us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeLowerRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromThirtyFourPointThreeThreeToFiftyOnePointSixNineMember
Exercise Price Range Per Share, Maximum $ 51.69us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeUpperRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromThirtyFourPointThreeThreeToFiftyOnePointSixNineMember
Exercise Price Range Per Share From 51.70 to 52.35 [Member]  
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]  
Exercise Price Range Per Share, Options Outstanding, Number of Options 111,197us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyOnePointSevenZeroToFiftyTwoPointThreeFiveMember
Exercise Price Range Per Share, Options Outstanding, Weighted Average Exercise Price $ 52.33us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyOnePointSevenZeroToFiftyTwoPointThreeFiveMember
Exercise Price Range Per Share, Options Outstanding, Weighted Average Remaining Life 7 years 1 month
Exercise Price Range Per Share, Options Exercisable, Number of Options 43,156us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyOnePointSevenZeroToFiftyTwoPointThreeFiveMember
Exercise Price Range Per Share, Options Exercisable, Weighted Average Exercise Price $ 52.33us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyOnePointSevenZeroToFiftyTwoPointThreeFiveMember
Exercise Price Range Per Share, Minimum $ 51.70us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeLowerRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyOnePointSevenZeroToFiftyTwoPointThreeFiveMember
Exercise Price Range Per Share, Maximum $ 52.35us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeUpperRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyOnePointSevenZeroToFiftyTwoPointThreeFiveMember
Exercise Price Range Per Share From 52.36 to 54.68 [Member]  
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]  
Exercise Price Range Per Share, Options Outstanding, Number of Options 146,995us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyTwoPointThreeSixToFiftyFourPointSixEightMember
Exercise Price Range Per Share, Options Outstanding, Weighted Average Exercise Price $ 53.43us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyTwoPointThreeSixToFiftyFourPointSixEightMember
Exercise Price Range Per Share, Options Outstanding, Weighted Average Remaining Life 6 years 6 months
Exercise Price Range Per Share, Options Exercisable, Number of Options 90,146us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyTwoPointThreeSixToFiftyFourPointSixEightMember
Exercise Price Range Per Share, Options Exercisable, Weighted Average Exercise Price $ 54.10us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyTwoPointThreeSixToFiftyFourPointSixEightMember
Exercise Price Range Per Share, Minimum $ 52.36us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeLowerRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyTwoPointThreeSixToFiftyFourPointSixEightMember
Exercise Price Range Per Share, Maximum $ 54.68us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeUpperRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyTwoPointThreeSixToFiftyFourPointSixEightMember
Exercise Price Range Per Share From 54.69 to 57.60 [Member]  
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]  
Exercise Price Range Per Share, Options Outstanding, Number of Options 142,360us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyFourPointSixNineToFiftySevenPointSixZeroMember
Exercise Price Range Per Share, Options Outstanding, Weighted Average Exercise Price $ 56.52us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyFourPointSixNineToFiftySevenPointSixZeroMember
Exercise Price Range Per Share, Options Outstanding, Weighted Average Remaining Life 3 years 8 months 12 days
Exercise Price Range Per Share, Options Exercisable, Number of Options 120,873us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyFourPointSixNineToFiftySevenPointSixZeroMember
Exercise Price Range Per Share, Options Exercisable, Weighted Average Exercise Price $ 56.68us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyFourPointSixNineToFiftySevenPointSixZeroMember
Exercise Price Range Per Share, Minimum $ 54.69us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeLowerRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyFourPointSixNineToFiftySevenPointSixZeroMember
Exercise Price Range Per Share, Maximum $ 57.60us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeUpperRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyFourPointSixNineToFiftySevenPointSixZeroMember
Exercise Price Range Per Share From 57.61 to 59.83 [Member]  
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]  
Exercise Price Range Per Share, Options Outstanding, Number of Options 105,666us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftySevenPointSixOneToFiftyNinePointEightThreeMember
Exercise Price Range Per Share, Options Outstanding, Weighted Average Exercise Price $ 58.38us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftySevenPointSixOneToFiftyNinePointEightThreeMember
Exercise Price Range Per Share, Options Outstanding, Weighted Average Remaining Life 1 year 6 months
Exercise Price Range Per Share, Options Exercisable, Number of Options 105,666us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftySevenPointSixOneToFiftyNinePointEightThreeMember
Exercise Price Range Per Share, Options Exercisable, Weighted Average Exercise Price $ 58.38us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftySevenPointSixOneToFiftyNinePointEightThreeMember
Exercise Price Range Per Share, Minimum $ 57.61us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeLowerRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftySevenPointSixOneToFiftyNinePointEightThreeMember
Exercise Price Range Per Share, Maximum $ 59.83us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeUpperRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftySevenPointSixOneToFiftyNinePointEightThreeMember
Exercise Price Range Per Share From 59.84 to 111.71 [Member]  
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]  
Exercise Price Range Per Share, Options Outstanding, Number of Options 179,048us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyNinePointEightFourToHundredAndElevenPointSevenOneMember
Exercise Price Range Per Share, Options Outstanding, Weighted Average Exercise Price $ 65.06us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyNinePointEightFourToHundredAndElevenPointSevenOneMember
Exercise Price Range Per Share, Options Outstanding, Weighted Average Remaining Life 6 years 8 months 12 days
Exercise Price Range Per Share, Options Exercisable, Number of Options 84,599us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyNinePointEightFourToHundredAndElevenPointSevenOneMember
Exercise Price Range Per Share, Options Exercisable, Weighted Average Exercise Price $ 65.89us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyNinePointEightFourToHundredAndElevenPointSevenOneMember
Exercise Price Range Per Share, Minimum $ 59.84us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeLowerRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyNinePointEightFourToHundredAndElevenPointSevenOneMember
Exercise Price Range Per Share, Maximum $ 111.71us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeUpperRangeLimit
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ibkc_ExercisePriceRangePerShareFromFiftyNinePointEightFourToHundredAndElevenPointSevenOneMember