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Stock- Based Compensation - Segregated Disclosure of Options Outstanding (Detail) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Options outstanding 1,765,922us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber 1,710,244us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
Weighted average exercise price $ 20.20us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice $ 19.09us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
Remaining contractual life 7 years  
Options exercisable 992,759us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber  
Weighted average exercise price $ 18.55us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice  
Less Than or Equal to $15.63 [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Options outstanding 597,663us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ctb_LessThanOrEqualToFifteenPointSixThreeMember
 
Weighted average exercise price $ 14.34us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ctb_LessThanOrEqualToFifteenPointSixThreeMember
 
Remaining contractual life 6 years 6 months  
Options exercisable 408,525us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ctb_LessThanOrEqualToFifteenPointSixThreeMember
 
Weighted average exercise price $ 13.75us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ctb_LessThanOrEqualToFifteenPointSixThreeMember
 
Greater Than $ 15.63 [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Options outstanding 1,168,259us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ctb_GreaterThanFifteenPointSixThreeMember
 
Weighted average exercise price $ 23.20us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ctb_GreaterThanFifteenPointSixThreeMember
 
Remaining contractual life 7 years 3 months 18 days  
Options exercisable 584,234us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ctb_GreaterThanFifteenPointSixThreeMember
 
Weighted average exercise price $ 21.91us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ctb_GreaterThanFifteenPointSixThreeMember