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Stockholders' Equity - Additional Information (Detail) (USD $)
In Millions, except Share data, unless otherwise specified
3 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Sep. 30, 2007
Jan. 31, 2015
Changes In Equity And Comprehensive Income Line Items [Line Items]        
Repurchase authorization, shares     10,000,000us-gaap_StockRepurchaseProgramNumberOfSharesAuthorizedToBeRepurchased  
Common stock shares repurchased 925,700cbt_NumberOfCommonStockRepurchasedUnderStockRepurchaseProgram      
Cash dividends paid to common stockholders $ 14us-gaap_DividendsCommonStockCash $ 13us-gaap_DividendsCommonStockCash    
Cash dividend paid per share $ 0.22us-gaap_CommonStockDividendsPerShareCashPaid $ 0.20us-gaap_CommonStockDividendsPerShareCashPaid    
Maximum [Member]        
Changes In Equity And Comprehensive Income Line Items [Line Items]        
Shares remaining available for repurchase under the current authorization 1,000,000us-gaap_StockRepurchaseProgramRemainingNumberOfSharesAuthorizedToBeRepurchased
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
     
Subsequent Event [Member]        
Changes In Equity And Comprehensive Income Line Items [Line Items]        
Repurchase authorization, shares       5,000,000us-gaap_StockRepurchaseProgramNumberOfSharesAuthorizedToBeRepurchased
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember