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Subsequent Events - Additional Information (Detail) (USD $)
In Thousands, except Share data, unless otherwise specified
12 Months Ended 0 Months Ended 3 Months Ended 0 Months Ended
Dec. 31, 2014
Aug. 06, 2014
Sep. 30, 2014
Feb. 20, 2015
Feb. 13, 2015
Accelerated Share Repurchases [Line Items]          
Amount paid to counter party under share repurchase program $ 200,000us-gaap_PaymentsForRepurchaseOfCommonStock        
ASR Program [Member]          
Accelerated Share Repurchases [Line Items]          
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
   
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
     
Share Repurchase Program [Abstract]          
Stock repurchased program, authorized amount   200,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= ctb_AcceleratedShareRepurchaseProgramMember
     
Subsequent Event [Member]          
Share Repurchase Program [Abstract]          
Stock repurchased program, authorized amount       200,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
 
Stock repurchase program date of expiration       Dec. 31, 2016  
Subsequent Event [Member] | ASR Program [Member]          
Accelerated Share Repurchases [Line Items]          
Share repurchase, common stock shares         784,694us-gaap_TreasuryStockSharesAcquired
/ us-gaap_ShareRepurchaseProgramAxis
= ctb_AcceleratedShareRepurchaseProgramMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Amount paid to counter party under share repurchase program         $ 200,000us-gaap_PaymentsForRepurchaseOfCommonStock
/ us-gaap_ShareRepurchaseProgramAxis
= ctb_AcceleratedShareRepurchaseProgramMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Subsequent Event [Member] | ASR Program [Member] | Counter Party [Member]          
Accelerated Share Repurchases [Line Items]          
Share repurchase, common stock shares         6,351,848us-gaap_TreasuryStockSharesAcquired
/ us-gaap_RelatedPartyTransactionAxis
= ctb_CounterPartyMember
/ us-gaap_ShareRepurchaseProgramAxis
= ctb_AcceleratedShareRepurchaseProgramMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember