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Earnings Per Share - Schedule of Calculation of Basic and Diluted Earnings Per Share (Detail) (USD $)
In Thousands, except Per Share data, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Earnings Per Share, Basic And Diluted, By Common Class, Including Two Class Method [Line Items]                      
Income available to common shareholders $ 35,936us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic $ 30,892us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic $ 16,227us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic $ 22,395us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic $ 25,604us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic $ 23,192us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic $ 15,590us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic $ 717us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic $ 105,450us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic $ 65,103us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic $ 76,395us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic
Earnings to common shareholders - basic                 103,798ibkc_DistributedAndUndistributedEarningsToCommonShareholdersBasic 63,897ibkc_DistributedAndUndistributedEarningsToCommonShareholdersBasic 74,952ibkc_DistributedAndUndistributedEarningsToCommonShareholdersBasic
Earnings to common shareholders - diluted                 103,765ibkc_DistributedAndUndistributedEarningsToCommonShareholdersDiluted 63,894ibkc_DistributedAndUndistributedEarningsToCommonShareholdersDiluted 74,958ibkc_DistributedAndUndistributedEarningsToCommonShareholdersDiluted
Weighted average shares outstanding - basic                 31,307us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 29,052us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 28,901us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Potential common shares                 126us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment 53us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment 57us-gaap_WeightedAverageNumberDilutedSharesOutstandingAdjustment
Weighted average shares outstanding - diluted                 31,433us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 29,105us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 28,958us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
Weighted average shares outstanding - unvested restricted stock                 518us-gaap_WeightedAverageNumberOfSharesRestrictedStock 553us-gaap_WeightedAverageNumberOfSharesRestrictedStock 553us-gaap_WeightedAverageNumberOfSharesRestrictedStock
Earnings per common share - Basic $ 1.08us-gaap_EarningsPerShareBasic $ 0.93us-gaap_EarningsPerShareBasic $ 0.53us-gaap_EarningsPerShareBasic $ 0.75us-gaap_EarningsPerShareBasic $ 0.86us-gaap_EarningsPerShareBasic $ 0.78us-gaap_EarningsPerShareBasic $ 0.53us-gaap_EarningsPerShareBasic $ 0.02us-gaap_EarningsPerShareBasic $ 3.32us-gaap_EarningsPerShareBasic $ 2.20us-gaap_EarningsPerShareBasic $ 2.59us-gaap_EarningsPerShareBasic
Earnings per common share - Diluted $ 1.07us-gaap_EarningsPerShareDiluted $ 0.92us-gaap_EarningsPerShareDiluted $ 0.53us-gaap_EarningsPerShareDiluted $ 0.75us-gaap_EarningsPerShareDiluted $ 0.86us-gaap_EarningsPerShareDiluted $ 0.78us-gaap_EarningsPerShareDiluted $ 0.53us-gaap_EarningsPerShareDiluted $ 0.02us-gaap_EarningsPerShareDiluted $ 3.30us-gaap_EarningsPerShareDiluted $ 2.20us-gaap_EarningsPerShareDiluted $ 2.59us-gaap_EarningsPerShareDiluted
Unvested Restricted Stock [Member]                      
Earnings Per Share, Basic And Diluted, By Common Class, Including Two Class Method [Line Items]                      
Earnings to unvested restricted stock                 (1,652)ibkc_DistributedAndUndistributedEarningsToUnvestedRestrictedStock
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
(1,206)ibkc_DistributedAndUndistributedEarningsToUnvestedRestrictedStock
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
(1,443)ibkc_DistributedAndUndistributedEarningsToUnvestedRestrictedStock
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
Earnings reallocated to unvested restricted stock                 $ (33)us-gaap_UndistributedEarningsLossAllocatedToParticipatingSecuritiesBasic
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
$ (3)us-gaap_UndistributedEarningsLossAllocatedToParticipatingSecuritiesBasic
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
$ 6us-gaap_UndistributedEarningsLossAllocatedToParticipatingSecuritiesBasic
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
Earnings per common share - Basic                 $ 3.19us-gaap_EarningsPerShareBasic
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
$ 2.18us-gaap_EarningsPerShareBasic
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
$ 2.61us-gaap_EarningsPerShareBasic
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
Earnings per common share - Diluted                 $ 3.13us-gaap_EarningsPerShareDiluted
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
$ 2.18us-gaap_EarningsPerShareDiluted
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
$ 2.60us-gaap_EarningsPerShareDiluted
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember