Goodwill and Other Intangible Assets - Narrative (Details) - USD ($)	3 Months Ended		12 Months Ended
	Sep. 30, 2023	Mar. 31, 2023	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Finite-Lived Intangible Assets [Line Items]
Goodwill and intangible asset impairment		$ 0
Goodwill impairment			$ 157,500,000	$ 0	$ 0
Goodwill	$ 3,529,200,000		3,529,200,000	3,524,000,000	3,625,900,000
Amortization of intangible assets			116,600,000	112,300,000	65,900,000
Estimated amortization expense in 2022	116,200,000		116,200,000
Estimated amortization expense in 2023	112,200,000		112,200,000
Estimated amortization expense in 2024	110,900,000		110,900,000
Estimated amortization expense in 2025	102,800,000		102,800,000
Estimated amortization expense in 2026	90,000,000		90,000,000
Sensia
Finite-Lived Intangible Assets [Line Items]
Reporting unit, carrying value	665,100,000		665,100,000
Goodwill impairment	157,500,000
Goodwill	$ 160,300,000		160,300,000
Software products
Finite-Lived Intangible Assets [Line Items]
Amortization of intangible assets			$ 11,300,000	$ 9,400,000	$ 11,900,000