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Common Stock - Additional Information (Detail) (USD $)
In Thousands, except Share data, unless otherwise specified
0 Months Ended 3 Months Ended 12 Months Ended
Aug. 06, 2014
Sep. 30, 2014
Dec. 31, 2014
Aug. 06, 2014
Accelerated Share Repurchases [Line Items]        
Amount paid to counter party under share repurchase program     $ 200,000us-gaap_PaymentsForRepurchaseOfCommonStock  
Common shares reserved for compensation plans and contributions     10,500,000ctb_CommonSharesReservedForCompensationPlansAndContributions  
ASR Program [Member]        
Accelerated Share Repurchases [Line Items]        
Share repurchase, amount authorized 200,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= ctb_AcceleratedShareRepurchaseProgramMember
    200,000us-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
    80.00%ctb_PercentageOfCommonSharesInitiallyDeliveredUnderShareRepurchaseProgram
/ us-gaap_ShareRepurchaseProgramAxis
= ctb_AcceleratedShareRepurchaseProgramMember
Amount paid to counter party under share repurchase program $ 200,000us-gaap_PaymentsForRepurchaseOfCommonStock
/ us-gaap_ShareRepurchaseProgramAxis
= ctb_AcceleratedShareRepurchaseProgramMember
  $ 200,000us-gaap_PaymentsForRepurchaseOfCommonStock
/ us-gaap_ShareRepurchaseProgramAxis
= ctb_AcceleratedShareRepurchaseProgramMember