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Earnings Per Share - Calculation of Undistributed Earnings (Detail) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2016
Dec. 31, 2015
Earnings Per Share [Abstract]    
Net income (loss) attributable to Cabot Corporation $ 54 $ (7)
Less: Dividends declared on common stock 19 14
Undistributed earnings (loss) 35 (21)
Undistributed earnings (loss) allocated to common shareholders $ 35 $ (21)