Acquisitions - Narrative (Details) - USD ($)		3 Months Ended		9 Months Ended
	Aug. 31, 2021	Jun. 30, 2021	Dec. 31, 2020	Jun. 30, 2021	Jun. 30, 2022	Sep. 30, 2021
Business Acquisition [Line Items]
Goodwill					$ 3,582,200,000	$ 3,625,900,000
Sales		$ 0		$ 0
Pro forma revenue		$ 1,900,000,000		$ 5,300,000,000
Lifecycle Services
Business Acquisition [Line Items]
Goodwill					634,800,000	635,300,000
Software & Control
Business Acquisition [Line Items]
Goodwill					$ 2,424,100,000	$ 2,447,500,000
Plex Systems
Business Acquisition [Line Items]
Acquired finite-lived intangible assets, weighted average useful life	12 years
Finite lived intangible assets acquired customer attrition rate	5.00%
Finite lived intangible assets acquired royalty rate	25.00%
Finite lived intangible assets acquired obsolescence factor phase out period	10 years
Goodwill	$ 1,728,200,000
Plex Systems | Customer relationships
Business Acquisition [Line Items]
Finite-lived intangible assets acquired	276,400,000
Plex Systems | Patented Technology
Business Acquisition [Line Items]
Finite-lived intangible assets acquired	232,800,000
Plex Systems | Trade Names
Business Acquisition [Line Items]
Finite-lived intangible assets acquired	$ 22,200,000
Oylo And Fiix Inc.
Business Acquisition [Line Items]
Goodwill			$ 224,800,000
Oylo And Fiix Inc. | Customer Relationships, Technology, and Trade Names
Business Acquisition [Line Items]
Finite-lived intangible assets acquired			$ 69,600,000
Acquired finite-lived intangible assets, weighted average useful life			11 years
Oylo And Fiix Inc. | Lifecycle Services
Business Acquisition [Line Items]
Goodwill			$ 12,800,000
Oylo And Fiix Inc. | Software & Control
Business Acquisition [Line Items]
Goodwill			$ 212,000,000