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Business Combinations - Narrative (Details)
$ in Millions
3 Months Ended 6 Months Ended 15 Months Ended
Jan. 31, 2021
USD ($)
Sep. 30, 2020
USD ($)
Sep. 01, 2020
USD ($)
Feb. 29, 2020
USD ($)
Jun. 30, 2021
USD ($)
Sep. 30, 2020
USD ($)
business
Jun. 30, 2020
USD ($)
Mar. 31, 2020
USD ($)
Jun. 30, 2021
USD ($)
business
Jun. 30, 2020
USD ($)
Mar. 31, 2020
USD ($)
Dec. 31, 2020
USD ($)
Business Acquisition [Line Items]                        
Cash consideration for acquisition                 $ 215.8      
Goodwill         $ 5,637.0       $ 5,637.0     $ 5,582.6
Number of businesses acquired | business                 5      
Industrial Technologies and Services                        
Business Acquisition [Line Items]                        
Goodwill         4,209.5       $ 4,209.5     $ 4,151.2
MD Pneumatics and Kinney Vacuum Pumps and All Others                        
Business Acquisition [Line Items]                        
Revenue from acquisition date                 31.5      
Operating income from acquisition date                 4.0      
M-D Pneumatics and Kinney Vacuum Pumps                        
Business Acquisition [Line Items]                        
Cash consideration for acquisition $ 184.4                      
Goodwill $ 80.0                      
All Others                        
Business Acquisition [Line Items]                        
Cash consideration for acquisition                 31.5      
Goodwill         3.5       $ 3.5      
Revenue from acquisition date                   $ 5.3    
Operating income from acquisition date                   2.0    
Ingersoll Rand Industrial                        
Business Acquisition [Line Items]                        
Goodwill       $ 4,899.2                
Revenue from acquisition date             $ 609.0     $ 815.7    
Purchase consideration   $ 6,937.0   $ 6,937.0                
Acquisition-related costs               $ 42.3     $ 87.3  
Net payment upon final measurements of post-closing steps         49.5              
Adjustment to receivables upon final measurements of post-closing steps         $ 30.1              
Manufacturer of electric peristaltic pumps                        
Business Acquisition [Line Items]                        
Cash consideration, net of cash acquired     $ 15.5                  
Deferred consideration     $ 0.9                  
Sales and services businesses | Industrial Technologies and Services                        
Business Acquisition [Line Items]                        
Number of businesses acquired | business           2            
Cash consideration, net of cash acquired           $ 15.0            
Deferred consideration   $ 5.1       $ 5.1