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Acquisitions - Narrative (Details) - USD ($)
$ in Millions
6 Months Ended
Mar. 31, 2021
Dec. 31, 2020
Sep. 30, 2020
Business Acquisition [Line Items]      
Goodwill $ 1,895.0   $ 1,650.3
Lifecycle Services      
Business Acquisition [Line Items]      
Goodwill 635.4   0.0
Software & Control      
Business Acquisition [Line Items]      
Goodwill 716.5   $ 0.0
Oylo And Fiix Inc.      
Business Acquisition [Line Items]      
Goodwill   $ 219.8  
Oylo And Fiix Inc. | Customer Relationships, Technology, and Trade Names      
Business Acquisition [Line Items]      
Finite-lived intangible assets acquired $ 73.4    
Acquired finite-lived intangible assets, weighted average useful life 11 years    
Oylo And Fiix Inc. | Lifecycle Services      
Business Acquisition [Line Items]      
Goodwill $ 12.8    
Oylo And Fiix Inc. | Software & Control      
Business Acquisition [Line Items]      
Goodwill $ 207.0