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Earnings Per Share - Calculation of Undistributed Earnings (Detail) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2015
Dec. 31, 2014
Earnings Per Share [Abstract]    
Net (loss) income attributable to Cabot Corporation $ (7) $ 45
Less: Dividends declared on common stock 14 14
Undistributed (loss) earnings (21) 31
Undistributed (loss) earnings allocated to common shareholders $ (21) $ 31