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Goodwill and Other Intangible Assets - Narrative (Details) - USD ($)
 3 Months Ended 12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Oct. 02, 2021
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Schedule of changes in the carrying amount of goodwill, by reportable segment and other operating segments            
Amortization of intangible assets       $ 28,500,000 $ 21,600,000 $ 14,000,000.0
Estimated amortization expense 2022 $ 25,000,000.0     25,000,000.0    
Aggregate carrying value of definite lived intangible assets 232,900,000 $ 243,300,000   232,900,000 243,300,000  
Goodwill 455,300,000 457,300,000   455,300,000 457,300,000 368,600,000
Impairment of goodwill and intangible assets       13,400,000 30,000,000.0 700,000
Impairments       0 28,200,000  
Other indefinite-lived intangible assets 500,000 500,000        
Impairment charges $ 13,400,000 5,700,000   $ 300,000 0 400,000
Minimum            
Schedule of changes in the carrying amount of goodwill, by reportable segment and other operating segments            
Percentage fair value of each reporting unit exceeds carrying value 10.00%     10.00%    
ULC Robotics            
Schedule of changes in the carrying amount of goodwill, by reportable segment and other operating segments            
Impairment of goodwill and intangible assets     $ 24,300,000   24,300,000 700,000
Impairments   5,200,000        
Impairment charges       $ 500,000 500,000  
Trademarks            
Schedule of changes in the carrying amount of goodwill, by reportable segment and other operating segments            
Trademarks $ 168,700,000 172,200,000   168,700,000 172,200,000  
Impairment charges       500,000 500,000 700,000
Cincinnati Fan            
Schedule of changes in the carrying amount of goodwill, by reportable segment and other operating segments            
Goodwill 54,800,000     54,800,000    
ULC Robotics            
Schedule of changes in the carrying amount of goodwill, by reportable segment and other operating segments            
Goodwill 0     0    
Impairment of goodwill and intangible assets 12,900,000 5,200,000   12,900,000 29,500,000  
Impairments 12,000,000.0          
ULC Robotics | Trademarks            
Schedule of changes in the carrying amount of goodwill, by reportable segment and other operating segments            
Other indefinite-lived intangible assets 900,000     900,000 1,300,000  
HVAC reportable segment            
Schedule of changes in the carrying amount of goodwill, by reportable segment and other operating segments            
Aggregate carrying value of definite lived intangible assets 94,600,000     94,600,000    
Trademarks 105,000,000.0     105,000,000.0    
Goodwill 201,300,000 194,800,000   201,300,000 194,800,000 151,600,000
Impairments       0 0  
Detection and Measurement reportable segment            
Schedule of changes in the carrying amount of goodwill, by reportable segment and other operating segments            
Aggregate carrying value of definite lived intangible assets 138,300,000     138,300,000    
Trademarks 63,700,000     63,700,000    
Goodwill $ 254,000,000.0 $ 262,500,000   254,000,000.0 262,500,000 $ 217,000,000.0
Impairments       $ 0 $ 28,200,000