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Stock-Based Compensation - Stock Based Compensation Expense (Detail) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]      
Total stock-based compensation $ 9,047us-gaap_ShareBasedCompensation $ 6,973us-gaap_ShareBasedCompensation $ 8,036us-gaap_ShareBasedCompensation
Stock Options [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]      
Total stock-based compensation 4,218us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
3,934us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
3,388us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Stock Awards [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]      
Total stock-based compensation     67us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= ctb_StockAwardMember
Restricted Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]      
Total stock-based compensation 2,206us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
1,092us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
1,169us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
Performance Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]      
Total stock-based compensation $ 2,623us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsMember
$ 1,947us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsMember
$ 3,412us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= ctb_PerformanceStockUnitsMember