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Business Combinations and Divestitures - Summary of Fair Values of the Identifiable Assets Acquired and Liabilities Assumed (Details) (USD $)
3 Months Ended 12 Months Ended
Dec. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Oct. 15, 2013
Liabilities assumed:          
Cash paid   $ 49,482,000us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired $ (74,713,000)us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired $ 15,451,000us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired  
Goodwill   1,921,000us-gaap_GoodwillAcquiredDuringPeriod   8,846,000us-gaap_GoodwillAcquiredDuringPeriod  
Consideration Paid:          
Bargain purchase gain (9,014,000)us-gaap_BusinessCombinationBargainPurchaseGainRecognizedAmount   (9,014,000)us-gaap_BusinessCombinationBargainPurchaseGainRecognizedAmount    
Doral Healthcare Acquisition          
Assets acquired:          
Loans   45,334,000us-gaap_BusinessCombinationAcquiredReceivablesFairValue
/ us-gaap_BusinessAcquisitionAxis
= tbk_DoralHealthcareAcquisitionMember
     
Intangible assets   2,029,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill
/ us-gaap_BusinessAcquisitionAxis
= tbk_DoralHealthcareAcquisitionMember
     
Premises and equipment   50,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment
/ us-gaap_BusinessAcquisitionAxis
= tbk_DoralHealthcareAcquisitionMember
     
Other assets   276,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAssets
/ us-gaap_BusinessAcquisitionAxis
= tbk_DoralHealthcareAcquisitionMember
     
Total Assets Acquired   47,689,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets
/ us-gaap_BusinessAcquisitionAxis
= tbk_DoralHealthcareAcquisitionMember
     
Liabilities assumed:          
Customer deposits   128,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedFinancialLiabilities
/ us-gaap_BusinessAcquisitionAxis
= tbk_DoralHealthcareAcquisitionMember
     
Fair value of net assets acquired   47,561,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= tbk_DoralHealthcareAcquisitionMember
     
Cash paid   49,482,000us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tbk_DoralHealthcareAcquisitionMember
     
Goodwill   1,921,000us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_BusinessAcquisitionAxis
= tbk_DoralHealthcareAcquisitionMember
     
NBI Acquisition          
Assets acquired:          
Loans 568,358,000us-gaap_BusinessCombinationAcquiredReceivablesFairValue
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
545,246,000us-gaap_BusinessCombinationAcquiredReceivablesFairValue
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
568,358,000us-gaap_BusinessCombinationAcquiredReceivablesFairValue
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Intangible assets 15,091,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  15,091,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Premises and equipment 19,358,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  19,358,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Other assets 22,023,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAssets
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  22,023,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherAssets
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Cash and cash equivalents 89,990,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  89,990,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Securities 160,450,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedMarketableSecurities
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  160,450,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedMarketableSecurities
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
FHLB and Federal Reserve Bank stock 4,507,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedRestrictedInvestments
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  4,507,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedRestrictedInvestments
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Other real estate owned 11,285,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherRealEstate
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  11,285,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherRealEstate
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Bank-owned life insurance 28,435,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBankOwnedLifeInsurance
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  28,435,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBankOwnedLifeInsurance
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Deferred income taxes 17,237,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxAssets
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  17,237,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxAssets
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Total Assets Acquired 936,734,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  936,734,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Liabilities assumed:          
Customer deposits 793,256,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedFinancialLiabilities
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  793,256,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedFinancialLiabilities
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Customer repurchase agreements 19,927,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedSecuritiesSoldUnderAgreementsToRepurchase
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  19,927,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedSecuritiesSoldUnderAgreementsToRepurchase
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Senior secured note 11,858,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedSeniorSecuredNote
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  11,858,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedSeniorSecuredNote
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Junior subordinated debentures 24,120,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedJuniorSubordinatedDebentures
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  24,120,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedJuniorSubordinatedDebentures
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  24,120,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedJuniorSubordinatedDebentures
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
Federal Home Loan Bank advances 5,003,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedFederalHomeLoanBankAdvances
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  5,003,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedFederalHomeLoanBankAdvances
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Accrued interest and dividends payable 7,282,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAccruedInterestAndDividendsPayable
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  7,282,000tbk_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAccruedInterestAndDividendsPayable
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Other liabilities 7,988,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  7,988,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Total liabilities 869,434,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  869,434,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Fair value of net assets acquired 67,300,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
  67,300,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Cash paid to NBI common and preferred shareholders     15,277,000us-gaap_PaymentsToAcquireBusinessesGross
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Consideration Paid:          
Consideration paid     58,286,000us-gaap_BusinessCombinationConsiderationTransferred1
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
Bargain purchase gain     (9,014,000)us-gaap_BusinessCombinationBargainPurchaseGainRecognizedAmount
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
   
NBI Acquisition | Series B Preferred Stock          
Consideration Paid:          
Stock Issued or Assumed     5,196,000us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesBPreferredStockMember
   
NBI Acquisition | Common Stock          
Consideration Paid:          
Stock Issued or Assumed     11,916,000us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
   
NBI Acquisition | Preferred Stock          
Consideration Paid:          
Stock Issued or Assumed     $ 25,897,000us-gaap_BusinessCombinationConsiderationTransferredEquityInterestsIssuedAndIssuable
/ us-gaap_BusinessAcquisitionAxis
= tbk_NbiAcquisitionMember
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_PreferredStockMember