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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, 2023
Dec. 31, 2022
Basic EPS:    
Net income (loss) attributable to Cabot Corporation $ 50 $ 54
Less: Undistributed earnings allocated to participating securities 1 1
Earnings (loss) allocated to common stockholders (numerator) $ 49 $ 53
Weighted average common shares and participating securities outstanding 56.4 57.6
Less: Participating securities 1.1 1.3
Adjusted weighted average common shares (denominator) 55.3 56.3
Earnings (loss) per common share - basic: $ 0.88 $ 0.94
Diluted EPS:    
Earnings (loss) allocated to common stockholders $ 49 $ 53
Plus: Earnings allocated to participating securities 1 1
Less: Adjusted earnings allocated to participating securities 1 1
Earnings (loss) allocated to common stockholders (numerator) $ 49 $ 53
Adjusted weighted average common shares outstanding 55.3 56.3
Common shares issuable 0.5 0.4
Adjusted weighted average common shares (denominator) 55.8 56.7
Earnings (loss) per common share - diluted: $ 0.88 $ 0.93