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Acquisitions - Business Acquisitions by Acquisition, Consideration (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Business Acquisition [Line Items]      
Goodwill $ 6,609.7 $ 6,064.2 $ 5,981.6
Total      
Business Acquisition [Line Items]      
Accounts receivable 52.4    
Inventories 99.2    
Other current assets 11.2    
Property, plant and equipment 65.5    
Goodwill 511.5    
Other intangible assets 380.9    
Other noncurrent assets 12.5    
Total current liabilities (82.1)    
Deferred tax liabilities (58.5)    
Other noncurrent liabilities (13.3)    
Total consideration 979.3    
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 noncurrent 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 42.1    
Goodwill 106.6    
Other intangible assets 116.9    
Other noncurrent assets 4.5    
Total current liabilities (27.1)    
Deferred tax liabilities 0.0    
Other noncurrent liabilities (2.1)    
Total consideration 292.5    
All others      
Business Acquisition [Line Items]      
Accounts receivable 11.8 16.2  
Inventories 21.1 20.4  
Other current assets 6.2 1.3  
Property, plant and equipment 5.0 8.9  
Goodwill 125.0 151.9  
Other intangible assets 25.4 43.0  
Other noncurrent assets 0.4 0.9  
Total current liabilities (19.1) (30.7)  
Deferred tax liabilities (3.7) (9.7)  
Other noncurrent liabilities (4.3) (1.9)  
Total consideration $ 167.8 200.3  
Total Consideration      
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 noncurrent assets   14.7  
Total current liabilities   (34.2)  
Deferred tax liabilities   (23.5)  
Other noncurrent liabilities   (1.9)  
Total consideration   304.5  
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 noncurrent assets   13.8  
Total current liabilities   (3.5)  
Deferred tax liabilities   (13.8)  
Other noncurrent liabilities   0.0  
Total consideration   $ 104.2