Acquisitions - Narrative (Details)											3 Months Ended	12 Months Ended
	Sep. 01, 2023 USD ($)	Dec. 01, 2022 USD ($)	Oct. 06, 2022 USD ($)	Oct. 06, 2022 EUR (€)	Aug. 31, 2022 USD ($)	Aug. 31, 2022 EUR (€)	Jun. 30, 2022 USD ($)	Jun. 30, 2022 EUR (€)	Oct. 22, 2021 USD ($)	Mar. 10, 2021 USD ($)	Sep. 30, 2022 USD ($)	Sep. 30, 2023 USD ($)	Sep. 30, 2022 USD ($)	Sep. 30, 2021 USD ($)	Oct. 06, 2022 EUR (€)	Dec. 31, 2021 USD ($)
Acquisitions
Acquisition expenses												$ 574,000,000.0	$ 442,700,000	$ 451,600,000
Goodwill and Intangible Asset Impairment												0	0	11,200,000
Loss (gain) on divestitures												0	3,100,000	(67,100,000)
Proceeds from divestitures, net of cash divested												696,700,000	(4,500,000)	165,800,000
Impairment charges														$ 0
Discontinued Operation, Tax Effect of Gain (Loss) from Disposal of Discontinued Operation													9,300,000
TerraSource Global
Acquisitions
Loss (gain) on divestitures											$ (3,100,000)
Consideration									$ 27,700,000
Disposal Group, Including Discontinued Operation, Accounts, Notes and Loans Receivable, Net									$ 25,600,000
Discontinued Operation, Transaction Costs											400,000
Disposal Group, Including Discontinued Operation, Accounts, Notes and Loans Receivable, Term									5 years
Discontinued Operation, Equity Method Investment Retained after Disposal, Ownership Interest after Disposal									49.00%
Red Valve
Acquisitions
Proceeds from divestiture of businesses												59,400,000
Loss (gain) on divestitures													31,600,000
Consideration																$ 63,000,000.0
Disposal Group, Including Discontinued Operation, Accounts, Notes and Loans Receivable, Net												5,000,000.0
Discontinued Operation, Transaction Costs												2,900,000
ABEL
Acquisitions
Loss (gain) on divestitures												(35,500,000)
Proceeds from divestitures, net of cash divested										$ 103,500,000
Discontinued Operation, Tax Effect of Gain (Loss) from Disposal of Discontinued Operation												3,800,000
Discontinued Operation, Transaction Costs												3,900,000
Proceeds from Divestiture of Businesses, Including Working Capital Adjustments										$ 106,300,000
Herbold
Acquisitions
Payments to acquire businesses, gross					$ 77.7	€ 77.5
Intangible assets					0							22,600,000
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net					$ 77,700,000							77,700,000
Business Acquisition, Transaction Costs											1.8	0.1	1.8
Finite Lived Intangible Assets Acquired, Weighted Average Cost Of Capital, Percentage					20.00%	20.00%
Herbold | Technology, including patents
Acquisitions
Business Acquisition, Goodwill, Expected Tax Deductible Amount					$ 0
Gabler
Acquisitions
Payments to acquire businesses, gross							$ 12,900,000	€ 12,600,000
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net							$ 6,200,000
Peerless Food Equipment
Acquisitions
Intangible assets												25,300,000
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net		$ 59,900,000										59,200,000
Business combination, consideration transferred		$ 59.2
Gross Carrying Amount												25.3
Business Acquisition, Transaction Costs												0.5
Finite Lived Intangible Assets Acquired, Weighted Average Cost Of Capital, Percentage			13.00%	13.00%
LINXIS
Acquisitions
Payments to acquire businesses, gross			$ 590.8	€ 596.2
Intangible assets			243,800,000									243,800,000
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net			595,400,000									593,800,000
Business combination, consideration transferred			590,800,000									590,800,000
Business Acquisition, Transaction Costs											$ 4.5	1.4	$ 4.5
Business Combination, Enterprise Value			$ 566.8												€ 572.0
Finite Lived Intangible Assets Acquired, Weighted Average Cost Of Capital, Percentage			12.00%	12.00%
Business Acquisition, Goodwill, Expected Tax Deductible Amount			$ 0
Schenck Process Food and Performance Materials Business
Acquisitions
Payments to acquire businesses, gross	$ 748,700,000
Intangible assets	338,000,000.0
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net	$ 748,700,000
Business Acquisition, Transaction Costs												$ 16,200,000
Finite Lived Intangible Assets Acquired, Weighted Average Cost Of Capital, Percentage	12.00%