Acquisitions - Narrative (Details) - USD ($)		3 Months Ended		6 Months Ended
	Aug. 31, 2021	Mar. 31, 2021	Dec. 31, 2020	Mar. 31, 2021	Mar. 31, 2020	Mar. 31, 2022	Sep. 30, 2021
Business Acquisition [Line Items]
Goodwill						$ 3,620,200,000	$ 3,625,900,000
Sales				$ 0	$ 0
Pro forma revenue		$ 1,800,000,000		$ 3,400,000,000
Lifecycle Services
Business Acquisition [Line Items]
Goodwill						642,700,000	635,300,000
Software & Control
Business Acquisition [Line Items]
Goodwill						$ 2,441,300,000	$ 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	500.00%
Finite lived intangible assets acquired royalty rate	2500.00%
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