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Goodwill (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Sep. 30, 2023
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Goodwill        
Beginning Balance   $ 186.3 $ 186.6  
Goodwill, Foreign Currency Translation Gain (Loss)     (0.3)  
Goodwill, Transfers   0.0    
Goodwill, Written off Related to Sale of Business Unit   (4.6)    
Goodwill, Acquired During Period   40.4    
Ending Balance   222.1 186.3  
Goodwill, accumulated impairment losses       $ 32.7
Discontinued Operations, Disposed of by Sale [Member] | European Commercial HVAC and Refrigeration Operations        
Goodwill        
Impairment of Long-Lived Assets to be Disposed of, Goodwill $ 2.3      
Corporate, Non-Segment        
Goodwill        
Beginning Balance   0.0 0.0  
Goodwill, Foreign Currency Translation Gain (Loss)     0.0  
Goodwill, Transfers   4.6    
Goodwill, Written off Related to Sale of Business Unit   (4.6)    
Goodwill, Acquired During Period   0.0    
Ending Balance   0.0 0.0  
Residential Heating & Cooling [Member] | Operating Segments        
Goodwill        
Beginning Balance   26.1 26.1  
Goodwill, Foreign Currency Translation Gain (Loss)     0.0  
Goodwill, Transfers   0.0    
Goodwill, Written off Related to Sale of Business Unit   0.0    
Goodwill, Acquired During Period   0.0    
Ending Balance   26.1 26.1  
Commercial Heating & Cooling [Member] | Operating Segments        
Goodwill        
Beginning Balance   61.1 61.1  
Goodwill, Foreign Currency Translation Gain (Loss)     0.0  
Goodwill, Transfers   94.5    
Goodwill, Written off Related to Sale of Business Unit   0.0    
Goodwill, Acquired During Period   40.4    
Ending Balance   196.0 61.1  
Refrigeration [Member] | Operating Segments        
Goodwill        
Beginning Balance   99.1 99.4  
Goodwill, Foreign Currency Translation Gain (Loss)     (0.3)  
Goodwill, Transfers   (99.1)    
Goodwill, Written off Related to Sale of Business Unit   0.0    
Goodwill, Acquired During Period   0.0    
Ending Balance   $ 0.0 $ 99.1