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Income Taxes - Reconciliation of Income Tax Expense (Benefit) for Continuing Operations (Detail) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Income Tax Disclosure [Abstract]      
Income tax provision at 35% $ 121,982us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate $ 74,540us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate $ 128,958us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate
State and local income tax, net of federal income tax effect 7,123us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes 4,414us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes 4,391us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes
U.S. tax credits (1,455)ctb_IncomeTaxReconciliationTaxCreditDomestic (2,334)ctb_IncomeTaxReconciliationTaxCreditDomestic  
Difference in effective tax rates of international operations (35,095)ctb_IncomeTaxReconciliationDifferenceInEffectiveTaxRateOfInternationalOperation (9,633)ctb_IncomeTaxReconciliationDifferenceInEffectiveTaxRateOfInternationalOperation (16,545)ctb_IncomeTaxReconciliationDifferenceInEffectiveTaxRateOfInternationalOperation
Tax on gain from sale of CCT 21,767ctb_IncomeTaxReconciliationGainFromSaleOfJointVenture    
Tax law or rate change   3,702ctb_IncomeTaxReconciliationTaxExpenseRelatedToTaxLawChange 2,016ctb_IncomeTaxReconciliationTaxExpenseRelatedToTaxLawChange
Valuation allowance 1,382us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance 4,001us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance (181)us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance
Other - net (4,007)us-gaap_OtherIncomeTaxExpenseBenefitContinuingOperations 4,716us-gaap_OtherIncomeTaxExpenseBenefitContinuingOperations (2,615)us-gaap_OtherIncomeTaxExpenseBenefitContinuingOperations
Income tax expense $ 111,697us-gaap_IncomeTaxExpenseBenefit $ 79,406us-gaap_IncomeTaxExpenseBenefit $ 116,024us-gaap_IncomeTaxExpenseBenefit