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Goodwill and Other Intangible Assets - Goodwill Additional Information (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Mar. 31, 2022 | Mar. 31, 2022 | Sep. 30, 2021
Goodwill [Line Items] |  |  |
Accumulated goodwill impairment | $ 706 | $ 706 | $ 471
Goodwill, Impairment Loss |  | 235 |
Building Solutions North America |  |  |
Goodwill [Line Items] |  |  |
Goodwill, Impairment Loss |  | 235 |
Building Solutions EMEA/LA |  |  |
Goodwill [Line Items] |  |  |
Goodwill, Impairment Loss |  | 0 |
Building Solutions EMEA/LA | Global Retail |  |  |
Goodwill [Line Items] |  |  |
Goodwill, Transfers |  | 77 |
Building Solutions Asia Pacific |  |  |
Goodwill [Line Items] |  |  |
Goodwill, Impairment Loss |  | 0 |
Building Solutions Asia Pacific | Global Retail |  |  |
Goodwill [Line Items] |  |  |
Goodwill, Transfers |  | 16 |
Building Solutions North America Retail [Member] |  |  |
Goodwill [Line Items] |  |  |
Accumulated goodwill impairment | 659 | 659 | 424
Goodwill, Impairment Loss | 235 | 235 |
Building Solutions EMEA/LA - Latin America [Member] |  |  |
Goodwill [Line Items] |  |  |
Accumulated goodwill impairment | $ 47 | $ 47 | $ 47

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