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Earnings Per Share - Calculation of Undistributed Earnings (Detail) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended
--- | --- | ---
Mar. 31, 2022 | Mar. 31, 2021 | Mar. 31, 2022 | Mar. 31, 2021
Earnings Per Share [Abstract] |  |  |  |
Net income (loss) attributable to Cabot Corporation | $ 107 | $ 75 | $ 18 | $ 135
Less: Dividends declared on common stock | 21 | 20 | 42 | 40
Less: Dividends declared on participating securities | 1 |  | 1 |
Undistributed earnings (loss) | 85 | 55 | (25) | 95
Undistributed earnings (loss) allocated to common shareholders | 84 | 54 | $ (25) | 94
Undistributed earnings allocated to participating shareholders | $ 1 | $ 1 |  | $ 1

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