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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, 2022
Dec. 31, 2021
Basic EPS:    
Net income (loss) attributable to Cabot Corporation $ 54 $ (89)
Less: Undistributed earnings allocated to participating securities 1  
Earnings (loss) allocated to common shareholders (numerator) $ 53 $ (89)
Weighted average common shares and participating securities outstanding 57.6 57.7
Less: Participating securities 1.3 0.9
Adjusted weighted average common shares (denominator) 56.3 56.8
Earnings (loss) per common share - basic: $ 0.94 $ (1.57)
Diluted EPS:    
Earnings (loss) allocated to common shareholders $ 53 $ (89)
Plus: Earnings allocated to participating securities 1  
Less: Adjusted earnings allocated to participating securities 1  
Earnings (loss) allocated to common shareholders (numerator) $ 53 $ (89)
Adjusted weighted average common shares outstanding 56.3 56.8
Common shares issuable 0.4  
Adjusted weighted average common shares (denominator) 56.7 56.8
Earnings (loss) per common share - diluted: $ 0.93 $ (1.57)