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Significant Accounting Policies - Additional Information (Detail) (USD $)
12 Months Ended 0 Months Ended 3 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Aug. 06, 2014
Sep. 30, 2014
Jan. 01, 2012
Dec. 31, 2011
Summary Of Significant Policies [Line Items]              
Minimum percentage of investment consolidated 50.00%us-gaap_SubsidiaryOrEquityMethodInvesteeCumulativePercentageOwnershipAfterAllTransactions            
Maximum percentage of cost method investments 20.00%ctb_MaximumPercentageOfCostMethodInvestments            
Cash and cash equivalents at end of year $ 551,652,000us-gaap_CashAndCashEquivalentsAtCarryingValue $ 397,731,000us-gaap_CashAndCashEquivalentsAtCarryingValue $ 351,817,000us-gaap_CashAndCashEquivalentsAtCarryingValue       $ 233,710,000us-gaap_CashAndCashEquivalentsAtCarryingValue
Maximum maturity period of notes 6 months            
Finite lived intangible asset useful life, Minimum 5 years            
Finite lived intangible asset useful life, Maximum 30 years            
Common stock not included in the computation of diluted share   342,413us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount 13,100us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount        
Amount paid to counter party under share repurchase program 200,000,000us-gaap_PaymentsForRepurchaseOfCommonStock            
Maturities of forward contracts 12 months            
Products liability expenses, Minimum 0ctb_MinimumCostsOfResolvedCases            
Products liability expenses, Maximum 33,000,000ctb_MaximumCostsOfResolvedCases            
Advertising expense 57,439,000us-gaap_AdvertisingExpense 48,976,000us-gaap_AdvertisingExpense 49,756,000us-gaap_AdvertisingExpense        
Product warranty accrual reserve 14,005,000us-gaap_ProductWarrantyAccrual 30,853,000us-gaap_ProductWarrantyAccrual 30,139,000us-gaap_ProductWarrantyAccrual     18,127,000us-gaap_ProductWarrantyAccrual 27,400,000us-gaap_ProductWarrantyAccrual
Additions to product warranty accrual reserve 6,813,000us-gaap_ProductWarrantyAccrualAdditionsFromBusinessAcquisition 4,642,000us-gaap_ProductWarrantyAccrualAdditionsFromBusinessAcquisition 10,742,000us-gaap_ProductWarrantyAccrualAdditionsFromBusinessAcquisition        
Product warranty accrual payments (19,112,000)us-gaap_ProductWarrantyAccrualPayments (18,963,000)us-gaap_ProductWarrantyAccrualPayments (20,445,000)us-gaap_ProductWarrantyAccrualPayments        
Research and development expense 56,848,000us-gaap_ResearchAndDevelopmentExpense 51,127,000us-gaap_ResearchAndDevelopmentExpense 50,801,000us-gaap_ResearchAndDevelopmentExpense        
Interest paid to related party 15,000us-gaap_InterestExpenseRelatedParty 648,000us-gaap_InterestExpenseRelatedParty 900,000us-gaap_InterestExpenseRelatedParty        
Payment made by company's joint venture to related party for purchases 32,918,000us-gaap_RelatedPartyTransactionAmountsOfTransaction 36,865,000us-gaap_RelatedPartyTransactionAmountsOfTransaction 46,235,000us-gaap_RelatedPartyTransactionAmountsOfTransaction        
Payment made by company's joint venture to related party for services 27,573,000us-gaap_RelatedPartyTransactionExpensesFromTransactionsWithRelatedParty 26,674,000us-gaap_RelatedPartyTransactionExpensesFromTransactionsWithRelatedParty 29,865,000us-gaap_RelatedPartyTransactionExpensesFromTransactionsWithRelatedParty        
Apollo [Member]              
Summary Of Significant Policies [Line Items]              
Expenses related to Apollo merger agreement   18,049,000us-gaap_BusinessCombinationSeparatelyRecognizedTransactionsExpensesAndLossesRecognized
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= ctb_ApolloMember
         
ASR Program [Member]              
Summary Of Significant Policies [Line Items]              
Share repurchase, amount authorized       200,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= ctb_AcceleratedShareRepurchaseProgramMember
     
Final repurchase date 2015-02            
Share repurchase, common stock shares 5,567,154us-gaap_TreasuryStockSharesAcquired
/ us-gaap_ShareRepurchaseProgramAxis
= ctb_AcceleratedShareRepurchaseProgramMember
      5,567,154us-gaap_TreasuryStockSharesAcquired
/ us-gaap_ShareRepurchaseProgramAxis
= ctb_AcceleratedShareRepurchaseProgramMember
   
Percentage Of Common Shares Initially Delivered Under Share Repurchase Program       80.00%ctb_PercentageOfCommonSharesInitiallyDeliveredUnderShareRepurchaseProgram
/ us-gaap_ShareRepurchaseProgramAxis
= ctb_AcceleratedShareRepurchaseProgramMember
     
Amount paid to counter party under share repurchase program $ 200,000,000us-gaap_PaymentsForRepurchaseOfCommonStock
/ us-gaap_ShareRepurchaseProgramAxis
= ctb_AcceleratedShareRepurchaseProgramMember
    $ 200,000,000us-gaap_PaymentsForRepurchaseOfCommonStock
/ us-gaap_ShareRepurchaseProgramAxis
= ctb_AcceleratedShareRepurchaseProgramMember
     
Cash Equivalents [Member]              
Summary Of Significant Policies [Line Items]              
Original maturity of highly liquid investments 3 months            
Minimum [Member]              
Summary Of Significant Policies [Line Items]              
Equity investments ownership percentage 20.00%us-gaap_EquityMethodInvestmentOwnershipPercentage
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
           
Maximum [Member]              
Summary Of Significant Policies [Line Items]              
Equity investments ownership percentage 50.00%us-gaap_EquityMethodInvestmentOwnershipPercentage
/ us-gaap_RangeAxis
= us-gaap_MaximumMember