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Fair Value of Financial Instruments - Carrying Amounts and Fair Values of Financial Instruments (Detail) (USD $)
In Thousands, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]        
Cash and cash equivalents, Carrying Value $ 551,652us-gaap_CashAndCashEquivalentsAtCarryingValue $ 397,731us-gaap_CashAndCashEquivalentsAtCarryingValue $ 351,817us-gaap_CashAndCashEquivalentsAtCarryingValue $ 233,710us-gaap_CashAndCashEquivalentsAtCarryingValue
Notes receivable, Carrying Value 4,546us-gaap_NotesAndLoansReceivableNetCurrent 86,965us-gaap_NotesAndLoansReceivableNetCurrent    
Restricted cash, Carrying Value 653us-gaap_RestrictedCashAndCashEquivalentsNoncurrent 2,759us-gaap_RestrictedCashAndCashEquivalentsNoncurrent    
Notes payable, Carrying Value (64,551)us-gaap_NotesPayableCurrent (22,105)us-gaap_NotesPayableCurrent    
Current portion of long-term debt, Carrying Value (2,115)us-gaap_LongTermDebtCurrent (17,868)us-gaap_LongTermDebtCurrent    
Long-term debt, Carrying Value (298,931)us-gaap_LongTermDebtAndCapitalLeaseObligations (320,959)us-gaap_LongTermDebtAndCapitalLeaseObligations    
Quoted Prices in Active Markets for Identical Assets Level (1) [Member]        
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]        
Cash and cash equivalents, Fair Value 551,652us-gaap_CashAndCashEquivalentsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
397,731us-gaap_CashAndCashEquivalentsFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
   
Notes receivable, Fair Value Disclosure 4,546us-gaap_NotesReceivableFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
86,965us-gaap_NotesReceivableFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
   
Restricted cash, Fair Value 653ctb_RestrictedCashNoncurrentFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
2,759ctb_RestrictedCashNoncurrentFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
   
Notes payable, Fair Value Disclosure (64,551)us-gaap_NotesPayableFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
(22,105)us-gaap_NotesPayableFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
   
Current portion of long-term debt, Fair Value (2,115)ctb_LongTermDebtCurrentFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
(17,868)ctb_LongTermDebtCurrentFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
   
Long-term debt, Fair Value $ (325,431)us-gaap_LongTermDebtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
$ (334,759)us-gaap_LongTermDebtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member