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Acquisitions and Divestitures - Additional Information (Detail) - USD ($)
$ in Millions
6 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Acquisitions And Divestitures [Line Items]    
Cash paid for business acquisition $ 124 $ 10
Goodwill, Acquired During Period 123  
Business divestitures, net of cash divested 16 19
Goodwill, Written off Related to Sale of Business Unit 98  
Global Products    
Acquisitions And Divestitures [Line Items]    
Goodwill, Acquired During Period 16  
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 16  
Building Solutions EMEA/LA    
Acquisitions And Divestitures [Line Items]    
Goodwill, Acquired During Period 38  
Goodwill, Written off Related to Sale of Business Unit 82  
Building Solutions North America    
Acquisitions And Divestitures [Line Items]    
Goodwill, Acquired During Period 24  
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   23
Business divestitures, net of cash divested   19
Goodwill, Written off Related to Sale of Business Unit   6
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 160 15
Cash paid for business acquisition 124 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 29 $ 13
Individually Immaterial Acquisitions | Building Solutions North America    
Acquisitions And Divestitures [Line Items]    
Goodwill, Acquired During Period $ 24