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Acquisitions and Divestitures - Additional Information (Detail) - USD ($) $ in Millions | 3 Months Ended
--- | ---
Dec. 31, 2021 | Dec. 31, 2020
Acquisitions And Divestitures [Line Items] |  |
Cash paid for business acquisition | $ 108 | $ 0
Goodwill, Acquired During Period | 102 |
Business divestitures, net of cash divested | 16 | 11
Goodwill, Written off Related to Sale of Business Unit | 5 |
Global Products |  |
Acquisitions And Divestitures [Line Items] |  |
Goodwill, Acquired During Period | 10 |
Goodwill, Written off Related to Sale of Business Unit | 0 |
Building Solutions Asia Pacific |  |
Acquisitions And Divestitures [Line Items] |  |
Goodwill, Acquired During Period | 45 |
Goodwill, Written off Related to Sale of Business Unit | 0 |
Building Solutions EMEA/LA |  |
Acquisitions And Divestitures [Line Items] |  |
Goodwill, Acquired During Period | 27 |
Goodwill, Written off Related to Sale of Business Unit | 5 |
Building Solutions North America |  |
Acquisitions And Divestitures [Line Items] |  |
Goodwill, Acquired During Period | 20 |
Goodwill, Written off Related to Sale of Business Unit | 0 |
Business Divestitures, Not Specific | Building Solutions Asia Pacific |  |
Acquisitions And Divestitures [Line Items] |  |
Proceeds from Divestiture of Businesses |  | 15
Business divestitures, net of cash divested |  | 11
Goodwill, Written off Related to Sale of Business Unit |  | $ 4
Business Divestitures, Not Specific | Building Solutions EMEA/LA |  |
Acquisitions And Divestitures [Line Items] |  |
Proceeds from Divestiture of Businesses | 18 |
Business divestitures, net of cash divested | 16 |
Goodwill, Written off Related to Sale of Business Unit | 5 |
Individually Immaterial Acquisitions |  |
Acquisitions And Divestitures [Line Items] |  |
Purchase price, net of cash acquired | 142 |
Cash paid for business acquisition | 108 |
Individually Immaterial Acquisitions | Global Products |  |
Acquisitions And Divestitures [Line Items] |  |
Goodwill, Acquired During Period | 10 |
Individually Immaterial Acquisitions | Building Solutions Asia Pacific |  |
Acquisitions And Divestitures [Line Items] |  |
Goodwill, Acquired During Period | 45 |
Individually Immaterial Acquisitions | Building Solutions EMEA/LA |  |
Acquisitions And Divestitures [Line Items] |  |
Goodwill, Acquired During Period | 19 |
Individually Immaterial Acquisitions | Building Solutions North America |  |
Acquisitions And Divestitures [Line Items] |  |
Goodwill, Acquired During Period | $ 20 |

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- Definition Amount of consideration transferred, consisting of acquisition-date fair value of assets transferred by the acquirer, liabilities incurred by the acquirer, and equity interest issued by the acquirer. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 30 -Section 30 -Paragraph 8 -URI http://asc.fasb.org/extlink&oid=116859721&loc=d3e6613-128477 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 30 -Section 50 -Paragraph 1 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=120321790&loc=d3e6927-128479 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 30 -Section 30 -Paragraph 7 -URI http://asc.fasb.org/extlink&oid=116859721&loc=d3e6578-128477 + Details
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- Definition Amount of increase in asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized resulting from a business combination. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=121556970&loc=d3e13816-109267 + Details
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- Definition Amount of divestiture of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (d) -URI http://asc.fasb.org/extlink&oid=121556970&loc=d3e13816-109267 + Details
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- Definition This element represents the cash inflow during the period from the sale of a component of the entity. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 12 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=123570139&loc=d3e3179-108585 + Details
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