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Business Combinations - Net Asset Acquired (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Mar. 17, 2023
Dec. 31, 2022
Dec. 31, 2021
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]        
Goodwill $ 2,906.8   $ 992.0 $ 994.6
Goodwill written off 175.1      
American Fans        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]        
Goodwill   $ 49.7    
Roots Rotary Blowers Business        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]        
Goodwill   102.2    
Howden Industries        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]        
Cash and cash equivalents   62.5    
Restricted cash   2.6    
Accounts receivable   427.5    
Inventories   260.0    
Unbilled contract revenue   168.1    
Prepaid expenses   51.9    
Other current assets   103.3    
Assets held for sale   225.7    
Property, plant and equipment   325.1    
Identifiable intangible assets   2,434.5    
Equity method investments   12.0    
Other assets   117.8    
Accounts payable   (373.2)    
Customer advances and billings in excess of contract revenue   (233.2)    
Accrued salaries, wages and benefits   (103.0)    
Accrued income taxes   (28.5)    
Current portion of warranty reserve   (34.3)    
Current portion of long-term debt   (1.4)    
Other current liabilities   (141.2)    
Liabilities held for sale   (43.9)    
Long-term deferred tax liabilities   (671.8)    
Operating lease liabilities   (52.3)    
Finance lease liabilities   (8.1)    
Accrued pension liabilities   (6.0)    
Other long-term liabilities   (45.7)    
Total identifiable net assets assumed   2,448.4    
Noncontrolling interest   (146.3)    
Goodwill   2,085.3    
Net assets acquired   4,387.4    
Assets acquired net of cash, cash equivalents and restricted cash   $ 4,322.3    
Howden Industries | Howden Hua Engineering Co        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]        
Noncontrolling interest $ (146.0)      
Noncontrolling interest, ownership percentage (percent)   82.00%