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Fair Value of Financial Instruments - Fair Value of Gross Position of Derivative Contracts in Consolidated Balance Sheets (Detail) (USD $)
In Thousands, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Other Current Assets [Member]    
Derivatives, Fair Value [Line Items]    
Derivatives (Assets)/ liabilities as hedging instruments $ 5,979us-gaap_DerivativeFairValueOfDerivativeNet
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherCurrentAssetsMember
$ 349us-gaap_DerivativeFairValueOfDerivativeNet
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherCurrentAssetsMember
Designated as Hedging Instruments [Member]    
Derivatives, Fair Value [Line Items]    
Derivatives (Assets)/ liabilities as hedging instruments 5,979us-gaap_DerivativeFairValueOfDerivativeNet
/ us-gaap_HedgingDesignationAxis
= us-gaap_DesignatedAsHedgingInstrumentMember
470us-gaap_DerivativeFairValueOfDerivativeNet
/ us-gaap_HedgingDesignationAxis
= us-gaap_DesignatedAsHedgingInstrumentMember
Designated as Hedging Instruments [Member] | Gross Amounts Recognized [Member]    
Derivatives, Fair Value [Line Items]    
Derivatives (Assets)/ liabilities as hedging instruments 6,483us-gaap_DerivativeFairValueOfDerivativeNet
/ us-gaap_FairValueByMeasurementBasisAxis
= ctb_GrossAmountsPresentedInBalanceSheetsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_DesignatedAsHedgingInstrumentMember
2,702us-gaap_DerivativeFairValueOfDerivativeNet
/ us-gaap_FairValueByMeasurementBasisAxis
= ctb_GrossAmountsPresentedInBalanceSheetsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_DesignatedAsHedgingInstrumentMember
Designated as Hedging Instruments [Member] | Gross Amounts Offset [Member]    
Derivatives, Fair Value [Line Items]    
Derivatives (Assets)/ liabilities as hedging instruments (504)us-gaap_DerivativeFairValueOfDerivativeNet
/ us-gaap_FairValueByMeasurementBasisAxis
= ctb_DerivativeFairValueOfDerivativeAmountOffsetAgainstCollateralMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_DesignatedAsHedgingInstrumentMember
(2,232)us-gaap_DerivativeFairValueOfDerivativeNet
/ us-gaap_FairValueByMeasurementBasisAxis
= ctb_DerivativeFairValueOfDerivativeAmountOffsetAgainstCollateralMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_DesignatedAsHedgingInstrumentMember
Not Designated as Hedging Instruments [Member]    
Derivatives, Fair Value [Line Items]    
Derivatives (Assets)/ liabilities as hedging instruments   (121)us-gaap_DerivativeFairValueOfDerivativeNet
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Not Designated as Hedging Instruments [Member] | Gross Amounts Recognized [Member]    
Derivatives, Fair Value [Line Items]    
Derivatives (Assets)/ liabilities as hedging instruments   $ (121)us-gaap_DerivativeFairValueOfDerivativeNet
/ us-gaap_FairValueByMeasurementBasisAxis
= ctb_GrossAmountsPresentedInBalanceSheetsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember