Acquisitions - Business Acquisitions by Acquisition, Consideration (Details) - USD ($) $ in Millions	Sep. 30, 2023	Dec. 31, 2022	Sep. 30, 2022
Business Acquisition [Line Items]
Goodwill	$ 6,489.8	$ 6,064.2
Air Treatment
Business Acquisition [Line Items]
Accounts receivable	26.1
Inventories	43.9
Other current assets	2.2
Property, plant and equipment	18.4
Goodwill	280.7
Other intangible assets	238.6
Other assets	23.9
Total current liabilities	(35.9)
Deferred tax liabilities	(72.0)
Other noncurrent liabilities	(6.9)
Total consideration	519.0
Roots
Business Acquisition [Line Items]
Accounts receivable	12.4
Inventories	37.5
Other current assets	4.4
Property, plant and equipment	42.6
Goodwill	100.3
Other intangible assets	120.4
Other assets	28.8
Total current liabilities	(26.1)
Deferred tax liabilities	(26.5)
Other noncurrent liabilities	(1.9)
Total consideration	291.9
All Others
Business Acquisition [Line Items]
Accounts receivable	8.2		$ 16.2
Inventories	16.7		20.4
Other current assets	7.0		1.3
Property, plant and equipment	3.7		8.9
Goodwill	85.9		151.9
Other intangible assets	23.7		43.0
Other assets	0.6		0.9
Total current liabilities	(14.8)		(30.7)
Deferred tax liabilities	(0.2)		(9.7)
Other noncurrent liabilities	(3.2)		(1.9)
Total consideration	127.6		200.3
Total
Business Acquisition [Line Items]
Accounts receivable	46.7
Inventories	98.1
Other current assets	13.6
Property, plant and equipment	64.7
Goodwill	466.9
Other intangible assets	382.7
Other assets	53.3
Total current liabilities	(76.8)
Deferred tax liabilities	(98.7)
Other noncurrent liabilities	(12.0)
Total consideration	$ 938.5
Dosatron International
Business Acquisition [Line Items]
Accounts receivable			1.8
Inventories			6.2
Other current assets			0.1
Property, plant and equipment			0.3
Goodwill			57.4
Other intangible assets			41.9
Other assets			13.8
Total current liabilities			(3.5)
Deferred tax liabilities			(13.8)
Other noncurrent liabilities			0.0
Total consideration			104.2
Total
Business Acquisition [Line Items]
Accounts receivable			18.0
Inventories			26.6
Other current assets			1.4
Property, plant and equipment			9.2
Goodwill			209.3
Other intangible assets			84.9
Other assets			14.7
Total current liabilities			(34.2)
Deferred tax liabilities			(23.5)
Other noncurrent liabilities			(1.9)
Total consideration			$ 304.5