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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
Mar. 31, 2015
Mar. 31, 2014
Earnings per common share - basic    
Net income $ 25,126us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic $ 22,336us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic
Net income allocated to common shareholders 24,802ibkc_DistributedAndUndistributedEarningsToCommonShareholdersBasic 21,933ibkc_DistributedAndUndistributedEarningsToCommonShareholdersBasic
Weighted average common shares outstanding 33,168us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 29,270us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Earnings per common share - Basic $ 0.75us-gaap_EarningsPerShareBasic $ 0.75us-gaap_EarningsPerShareBasic
Earnings per common share - diluted    
Net income allocated to common shareholders 24,802ibkc_DistributedAndUndistributedEarningsToCommonShareholdersBasic 21,933ibkc_DistributedAndUndistributedEarningsToCommonShareholdersBasic
Net income allocated to common shareholders 24,782us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted 21,931us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted
Weighted average common shares outstanding 33,168us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 29,270us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Dilutive potential common shares - stock options 67ibkc_DilutivePotentialCommonSharesStockOptions 147ibkc_DilutivePotentialCommonSharesStockOptions
Weighted average common shares outstanding - diluted 33,235us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 29,417us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
Earnings per common share - diluted $ 0.75us-gaap_EarningsPerShareDiluted $ 0.75us-gaap_EarningsPerShareDiluted
Unvested Restricted Stock [Member]    
Earnings per common share - basic    
Dividends and undistributed earnings allocated to unvested restricted shares (324)ibkc_DistributedAndUndistributedEarningsToUnvestedRestrictedStockBasic
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
(403)ibkc_DistributedAndUndistributedEarningsToUnvestedRestrictedStockBasic
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
Earnings per common share - diluted    
Dividends and undistributed earnings allocated to unvested restricted shares $ (20)ibkc_DistributedAndUndistributedEarningsReallocatedToUnvestedRestrictedStock
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
$ (2)ibkc_DistributedAndUndistributedEarningsReallocatedToUnvestedRestrictedStock
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember