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Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill (Details) - USD ($) | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Mar. 31, 2023 | Mar. 31, 2023 | Sep. 30, 2022
Goodwill [Line Items] |  |  |
Goodwill |  |  | $ 18,109,000,000
Accumulated impairment loss |  |  | (781,000,000)
Goodwill [Roll Forward] |  |  |
Balance at beginning of period |  | $ 17,328,000,000 |
Acquisitions |  | 69,000,000 |
Impairments | $ (184,000,000) | (184,000,000) |
Foreign currency translation and other |  | 346,000,000 |
Balance at end of period | 17,559,000,000 | 17,559,000,000 |
Silent-Aire |  |  |
Goodwill [Roll Forward] |  |  |
Balance at end of period | 0 | 0 |
Building Solutions North America |  |  |
Goodwill [Line Items] |  |  |
Goodwill |  |  | 9,630,000,000
Accumulated impairment loss |  |  | (659,000,000)
Goodwill [Roll Forward] |  |  |
Balance at beginning of period |  | 8,971,000,000 |
Acquisitions |  | 0 |
Impairments |  | 0 |
Foreign currency translation and other |  | 8,000,000 |
Balance at end of period | 8,979,000,000 | 8,979,000,000 |
Building Solutions EMEA/LA |  |  |
Goodwill [Line Items] |  |  |
Goodwill |  |  | 1,772,000,000
Accumulated impairment loss |  |  | (47,000,000)
Goodwill [Roll Forward] |  |  |
Balance at beginning of period |  | 1,725,000,000 |
Acquisitions |  | 16,000,000 |
Impairments |  | 0 |
Foreign currency translation and other |  | 183,000,000 |
Balance at end of period | 1,924,000,000 | 1,924,000,000 |
Building Solutions Asia Pacific |  |  |
Goodwill [Line Items] |  |  |
Goodwill |  |  | 1,116,000,000
Accumulated impairment loss |  |  | 0
Goodwill [Roll Forward] |  |  |
Balance at beginning of period |  | 1,116,000,000 |
Acquisitions |  | 0 |
Impairments |  | 0 |
Foreign currency translation and other |  | 53,000,000 |
Balance at end of period | 1,169,000,000 | 1,169,000,000 |
Global Products |  |  |
Goodwill [Line Items] |  |  |
Goodwill |  |  | 5,591,000,000
Accumulated impairment loss |  |  | $ (75,000,000)
Goodwill [Roll Forward] |  |  |
Balance at beginning of period |  | 5,516,000,000 |
Acquisitions |  | 53,000,000 |
Impairments |  | (184,000,000) |
Foreign currency translation and other |  | 102,000,000 |
Balance at end of period | $ 5,487,000,000 | $ 5,487,000,000 |

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