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

Acquisitions And Discontinued Operations [Line Items]

No definition available.

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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
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-Publisher FASB
-Name Accounting Standards Codification
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-SubTopic 30
-Section 50
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-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

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- Definition

Amount of consideration received or receivable for the disposal of assets and liabilities, including discontinued operation.

+ References

No definition available.

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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

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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

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- Definition

The cash outflow associated with the acquisition of a business, net of the cash acquired from the purchase.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 13
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=123570139&loc=d3e3213-108585

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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

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