Acquisitions - Business Acquisitions by Acquisition, Consideration (Details) - USD ($) $ in Millions	Mar. 31, 2024	Dec. 31, 2023
Business Acquisition [Line Items]
Goodwill	$ 6,609.9	$ 6,609.7
Acquisitions In 2024
Business Acquisition [Line Items]
Accounts receivable	14.9
Inventories	13.5
Other current assets	0.5
Property, plant and equipment	7.8
Goodwill	45.9
Other intangible assets	84.5
Other assets	0.3
Total current liabilities	(14.5)
Other noncurrent liabilities	(2.8)
Total consideration	150.1
Friulair
Business Acquisition [Line Items]
Accounts receivable	14.9
Inventories	13.2
Other current assets	0.5
Property, plant and equipment	7.7
Goodwill	44.9
Other intangible assets	84.5
Other assets	0.3
Total current liabilities	(14.5)
Other noncurrent liabilities	(2.8)
Total consideration	148.7
All Others
Business Acquisition [Line Items]
Accounts receivable	0.0	11.7
Inventories	0.3	21.0
Other current assets	0.0	6.2
Property, plant and equipment	0.1	5.0
Goodwill	1.0	125.7
Other intangible assets	0.0	25.4
Other assets	0.0	0.4
Total current liabilities	0.0	(19.2)
Deferred tax liabilities		(3.7)
Other noncurrent liabilities	0.0	(4.3)
Total consideration	$ 1.4	168.2
Acquisitions In 2023
Business Acquisition [Line Items]
Accounts receivable		52.3
Inventories		99.1
Other current assets		11.2
Property, plant and equipment		65.4
Goodwill		509.6
Other intangible assets		380.9
Other assets		12.5
Total current liabilities		(82.0)
Deferred tax liabilities		(58.5)
Other noncurrent liabilities		(13.3)
Total consideration		977.2
Air Treatment
Business Acquisition [Line Items]
Accounts receivable		26.1
Inventories		43.9
Other current assets		2.1
Property, plant and equipment		18.4
Goodwill		279.9
Other intangible assets		238.6
Other assets		7.6
Total current liabilities		(35.9)
Deferred tax liabilities		(54.8)
Other noncurrent liabilities		(6.9)
Total consideration		519.0
Roots
Business Acquisition [Line Items]
Accounts receivable		14.5
Inventories		34.2
Other current assets		2.9
Property, plant and equipment		42.0
Goodwill		104.0
Other intangible assets		116.9
Other assets		4.5
Total current liabilities		(26.9)
Deferred tax liabilities		0.0
Other noncurrent liabilities		(2.1)
Total consideration		$ 290.0