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Stock-Based Compensation - Additional Information (Detail) (USD $)
In Thousands, except Share data, unless otherwise specified
 1 Months Ended 12 Months Ended 1 Months Ended 12 Months Ended 1 Months Ended 12 Months Ended
Feb. 28, 2014
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Apr. 30, 2009
Mar. 31, 2010
Dec. 31, 2011
Feb. 29, 2012
Feb. 28, 2013
Dec. 31, 2010
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Maximum expected term of options under incentive compensation plans   10 years                
Stock option long term incentive plan granted vesting portion per year   One-third each year                
Performance stock units granted 380,064us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod 380,064us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod                
Stock options exercisable over the next twelve months   393,157ctb_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableOverNextTwelveMonths                
Weighted average remaining contractual life of options outstanding   7 years                
Unvested compensation cost related to stock options   $ 5,128us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized                
Unvested compensation cost related to stock options recognized as expense   21 months                
Excess tax benefits   1,268us-gaap_ExcessTaxBenefitFromShareBasedCompensationFinancingActivities 494us-gaap_ExcessTaxBenefitFromShareBasedCompensationFinancingActivities 2,469us-gaap_ExcessTaxBenefitFromShareBasedCompensationFinancingActivities            
Long-Term Incentive Plan 2009-2011 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Performance stock units granted         1,155,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= ctb_LongTermIncentivePlanTwoThousandNineToTwoThousandElevenMember		          
Long-Term Incentive Plan 2010-2012 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Performance stock units granted           303,120us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= ctb_LongTermIncentivePlanTwoThousandTenToTwoThousandTwelveMember		        
Long-Term Incentive Plan 2011- 2013 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Performance stock units granted             311,670us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= ctb_LongTermIncentivePlanTwoThousandElevenToTwoThousandThirteenMember		      
Long-Term Incentive Plan 2012- 2014 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Performance stock units granted               589,934us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= ctb_LongTermIncentivePlanTwoThousandTwelveToTwoThousandFourteenMember		    
Long-Term Incentive Plan 2013- 2015 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Performance stock units granted                 330,639us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= ctb_LongTermIncentivePlanTwoThousandThirteenToTwoThousandFifteenMember		  
Stock Options [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Weighted Average fair value of option granted   $ 12.26us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 $ 12.97us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 $ 7.33us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		            
Restricted Stock Units (RSUs) [Member] | Minimum [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Restricted Stock Units vesting period   2 years 2 years 2 years     2 years      
Restricted Stock Units (RSUs) [Member] | Maximum [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Restricted Stock Units vesting period   4 years 4 years 4 years     4 years      
Restricted Stock Units [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Performance stock units granted   181,500us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember		                
Weighted Average fair value of option granted   $ 27.53us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember		 $ 25.72us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember		 $ 15.54us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember		            
Unvested compensation cost related to stock options   3,910us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember		                
Unvested compensation cost related to stock options recognized as expense   21 months                
Number of shares vested   111,790us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember		 97,059us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember		              
Performance Stock Units 2010 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Number of shares vested                   183,961us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsTwoThousandTenMember
Number of performance units, earned                   244,043ctb_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsEarnedInPeriod
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsTwoThousandTenMember
Performance Stock Units 2010 [Member] | Vesting Period 2012 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Number of shares vested       60,082us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares
/ us-gaap_AwardDateAxis
= ctb_VestingPeriodTwoThousandTwelveMember
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsTwoThousandTenMember		            
Performance Stock Units 2012 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Number of shares vested       91,190us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsTwoThousandTwelveMember		            
Number of performance units, earned       307,813ctb_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsEarnedInPeriod
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsTwoThousandTwelveMember		            
Performance Stock Units 2012 [Member] | Vesting Period 2013 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Number of shares vested     84,401us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares
/ us-gaap_AwardDateAxis
= ctb_VestingPeriodTwoThousandThirteenMember
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsTwoThousandTwelveMember		              
Performance Stock Units 2012 [Member] | Vesting Period 2014 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Number of shares vested   132,222us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares
/ us-gaap_AwardDateAxis
= ctb_VestingPeriodTwoThousandFourteenMember
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsTwoThousandTwelveMember		                
Performance Stock Units 2013 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Number of shares vested     9,821us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsTwoThousandThirteenMember		              
Number of performance units, earned     33,405ctb_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsEarnedInPeriod
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsTwoThousandThirteenMember		              
Performance Stock Units 2013 [Member] | Vesting Period 2014 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Number of shares vested   13,959us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares
/ us-gaap_AwardDateAxis
= ctb_VestingPeriodTwoThousandFourteenMember
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsTwoThousandThirteenMember		                
Performance Stock Units 2013 [Member] | Vesting Period 2015 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Number of shares vested   9,625us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares
/ us-gaap_AwardDateAxis
= ctb_VestingPeriodTwoThousandFifteenMember
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsTwoThousandThirteenMember		                
Performance Stock Units 2011 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Number of shares vested   49,248us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsTwoThousandElevenMember		                
Number of performance units, earned   123,788ctb_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsEarnedInPeriod
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsTwoThousandElevenMember		                
Performance Stock Units 2014 [Member] | Vesting Period 2015 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Number of shares vested   33,910us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares
/ us-gaap_AwardDateAxis
= ctb_VestingPeriodTwoThousandFifteenMember
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsTwoThousandFourteenMember		                
Performance Stock Units 2014 [Member] | Vesting Period 2016 [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Number of shares vested   40,630us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares
/ us-gaap_AwardDateAxis
= ctb_VestingPeriodTwoThousandSixteenMember
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsTwoThousandFourteenMember		                
Performance Stock Units [Member]                    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                    
Weighted Average fair value of option granted   $ 23.96us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsMember		 $ 25.43us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsMember		 $ 15.63us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsMember		            
Unvested compensation cost related to stock options   $ 960us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsMember		                
Unvested compensation cost related to stock options recognized as expense   19 months                
Number of performance units, earned   123,788ctb_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsEarnedInPeriod
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsMember