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Significant Restructuring and Impairment Costs - Schedule of Restructuring Reserve by Segment (Details) - 2021 Restructuring Plan $ in Millions	12 Months Ended
	Sep. 30, 2022 USD ($)
Restructuring Cost and Reserve [Line Items]
Restructuring, settlement and impairment provisions	$ 182
Restructuring and impairment costs, costs incurred to date	424
Building Solutions North America
Restructuring Cost and Reserve [Line Items]
Restructuring, settlement and impairment provisions	41
Restructuring and impairment costs, costs incurred to date	111
Building Solutions EMEA/LA
Restructuring Cost and Reserve [Line Items]
Restructuring, settlement and impairment provisions	33
Restructuring and impairment costs, costs incurred to date	62
Building Solutions Asia Pacific
Restructuring Cost and Reserve [Line Items]
Restructuring, settlement and impairment provisions	21
Restructuring and impairment costs, costs incurred to date	49
Global Products
Restructuring Cost and Reserve [Line Items]
Restructuring, settlement and impairment provisions	75
Restructuring and impairment costs, costs incurred to date	166
Corporate
Restructuring Cost and Reserve [Line Items]
Restructuring, settlement and impairment provisions	12
Restructuring and impairment costs, costs incurred to date	$ 36