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Business Combinations - Narrative (Details)
$ in Millions
3 Months Ended 9 Months Ended 15 Months Ended
Aug. 31, 2021
USD ($)
Jul. 30, 2021
USD ($)
Jan. 31, 2021
USD ($)
Sep. 01, 2020
USD ($)
Feb. 29, 2020
USD ($)
Jun. 30, 2021
USD ($)
Sep. 30, 2020
USD ($)
business
Mar. 31, 2020
USD ($)
Sep. 30, 2021
USD ($)
Sep. 30, 2020
USD ($)
Mar. 31, 2020
USD ($)
Business Acquisition [Line Items]                      
Cash consideration, net of cash acquired                 $ 809.3    
MD Pneumatics and Kinney Vacuum Pumps and All Others                      
Business Acquisition [Line Items]                      
Revenue from acquisition date                 69.5    
Operating income from acquisition date                 8.3    
M-D Pneumatics and Kinney Vacuum Pumps                      
Business Acquisition [Line Items]                      
Cash consideration for acquisition     $ 184.0                
All Others                      
Business Acquisition [Line Items]                      
Purchase consideration                 $ 33.3    
Revenue from acquisition date                   $ 5.3  
Operating income from acquisition date                   2.0  
Maximus Solutions                      
Business Acquisition [Line Items]                      
Cash consideration for acquisition   $ 110.5                  
Expected tax deductible amount of goodwill acquired   $ 0.0                  
Seepex                      
Business Acquisition [Line Items]                      
Cash consideration for acquisition $ 481.5                    
Expected tax deductible amount of goodwill acquired $ 0.0                    
Ingersoll Rand Industrial                      
Business Acquisition [Line Items]                      
Purchase consideration         $ 6,937.0            
Revenue from acquisition date             $ 662.7     1,478.4  
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 | Precision and Science Technologies                      
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]                      
Cash consideration, net of cash acquired             15.0        
Deferred consideration             $ 5.1     $ 5.1  
Number of businesses acquired | business             2