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Earnings Per Share - Components of Basic and Diluted Earnings (Loss) Per Common Share (EPS) (Detail) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Basic EPS:    
Net income (loss) attributable to Cabot Corporation $ 69 $ (122)
Earnings (loss) allocated to common shareholders (numerator) $ 69 $ (122)
Weighted average common shares and participating securities outstanding 60.8 62.6
Less: Participating securities 0.9 0.7
Adjusted weighted average common shares (denominator) 59.9 61.9
Earnings (loss) per common share - basic: $ 1.14 $ (1.98)
Diluted EPS:    
Earnings (loss) allocated to common shareholders $ 69 $ (122)
Plus: Earnings (loss) allocated to participating securities 1  
Less: Adjusted earnings allocated to participating securities 1  
Earnings (loss) allocated to common shareholders (numerator) $ 69 $ (122)
Adjusted weighted average common shares outstanding 59.9 61.9
Common shares issuable 0.2  
Adjusted weighted average common shares (denominator) 60.1 61.9
Earnings (loss) per common share - diluted: $ 1.14 $ (1.98)