Goodwill and Other Intangible Assets - Goodwill Additional Information (Details) - USD ($) $ in Millions	Dec. 31, 2021	Sep. 30, 2021
Goodwill [Line Items]
Accumulated goodwill impairment	$ 471	$ 471
Building Solutions North America Retail [Member]
Goodwill [Line Items]
Accumulated goodwill impairment	424	424
Building Solutions EMEA/LA - Latin America [Member]
Goodwill [Line Items]
Accumulated goodwill impairment	$ 47	$ 47

Amount of accumulated impairment loss for an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 20
-Section 50
-Paragraph 1
-Subparagraph (h)
-URI http://asc.fasb.org/extlink&oid=121556970&loc=d3e13816-109267

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 20
-Section 50
-Paragraph 1
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=121556970&loc=d3e13816-109267

Name:	us-gaap_GoodwillImpairedAccumulatedImpairmentLoss
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant