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Business Combinations - Preliminary Purchase Price Allocation (Details) - USD ($)
$ / shares in Units, $ in Millions
10 Months Ended
Dec. 31, 2020
Feb. 29, 2020
Feb. 28, 2020
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Less Noncontrolling Interest [Abstract]            
Property, plant and equipment   $ 516.5        
Goodwill $ 6,303.6     $ 6,303.6 $ 1,287.7 $ 1,289.5
Ingersoll Rand Industrial            
Purchase Price [Abstract]            
Fair value of common stock 6,919.5 6,919.5   6,919.5    
Fair value attributable to pre-merger service for replacement equity awards 8.6 8.6        
Fair value attributable to pre-merger service for deferred compensation plan 8.9 8.9        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Less Noncontrolling Interest [Abstract]            
Total purchase consideration 6,937.0 6,937.0        
Cash 38.8 41.3   38.8    
Accounts receivable 588.4 579.9   588.4    
Inventories 626.9 576.2   626.9    
Other current assets 87.2 136.9   87.2    
Property, plant and equipment 516.5 520.0   516.5    
Goodwill 4,885.9 4,278.2   4,885.9    
Intangible assets 3,766.6 4,501.3   3,766.6    
Other noncurrent assets 270.9 269.8   270.9    
Total current liabilities, including current maturities of long-term debt of $19.0 million (752.5) (830.6)   (752.5)    
Deferred tax liability (833.7) (900.6)   (833.7)    
Long-term debt, net of debt issuance costs and an original issue discount (1,851.7) (1,851.7)   (1,851.7)    
Other noncurrent liabilities (333.0) (310.4)   (333.0)    
Noncontrolling interest (73.3) (73.3)   (73.3)    
Total purchase price allocation $ 6,937.0 6,937.0   6,937.0    
Business Combination, Provisional Information, Initial Accounting Incomplete, Adjustments [Abstract]            
Cash       (2.5)    
Accounts receivable       8.5    
Inventories       50.7    
Other current assets       (49.7)    
Property, plant and equipment       (3.5)    
Goodwill       607.7    
Intangible assets       (734.7)    
Other noncurrent assets       1.1    
Total current liabilities, including current maturities of long-term debt of $19.0 million       78.1    
Deferred tax liability       66.9    
Other noncurrent liabilities       $ (22.6)    
Current maturities of long-term debt acquired   $ 19.0        
Fair value of stock issued (shares)     211,023,522      
Closing price per share (USD per share)     $ 32.79