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Goodwill and Other Intangible Assets - Goodwill (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended 12 Months Ended
Dec. 31, 2021
Oct. 02, 2021
Jun. 27, 2020
Dec. 31, 2021
Dec. 31, 2020
Aug. 02, 2021
Changes in the carrying amount of goodwill            
Gross goodwill, beginning of the period     $ 784.1 $ 843.7 $ 784.1  
Accumulated impairment, balance at the beginning of the period     (466.1) (475.1) (466.1)  
Goodwill, balance at the beginning of the period     318.0 368.6 318.0  
Goodwill Resulting from Business Combinations       124.7 43.5  
Gross goodwill       0.0    
Accumulated impairment         28.2  
Impairments       (28.2) 0.0  
Gross goodwill related to foreign currency translation and other       (14.6) 16.1  
Accumulated impairments related to foreign currency translation and other       6.8 (9.0)  
Goodwill related to foreign currency translation and other       (7.8) 7.1  
Gross goodwill, end of the period $ 953.8     953.8 843.7  
Accumulated impairment, balance at the end of the period (496.5)     (496.5) (475.1)  
Goodwill, balance at the end of the period 457.3     457.3 368.6  
Sealite Acquisition            
Changes in the carrying amount of goodwill            
Goodwill Resulting from Business Combinations       47.7    
Enterprise Control Systems Ltd            
Changes in the carrying amount of goodwill            
Goodwill Resulting from Business Combinations       25.9    
Contingent consideration 1.5     1.5   $ 8.2
Cincinnati Fan            
Changes in the carrying amount of goodwill            
Goodwill Resulting from Business Combinations       46.0    
ULC Robotics            
Changes in the carrying amount of goodwill            
Goodwill Resulting from Business Combinations       3.1 37.3  
Impairments (5.2)          
Contingent consideration 24.3     24.3    
ULC Robotics | Goodwill            
Changes in the carrying amount of goodwill            
Impairments (4.9) $ (23.3)        
ULC Robotics | Trademarks            
Changes in the carrying amount of goodwill            
Impairments (0.3)          
Impairment of intangible assets 0.3          
ULC Robotics | Other Operating Income (Expense)            
Changes in the carrying amount of goodwill            
Impairments   $ (24.3)        
Sensors & Software            
Changes in the carrying amount of goodwill            
Goodwill Resulting from Business Combinations     0.4 2.0 5.4  
Patterson-Kelley, LLC            
Changes in the carrying amount of goodwill            
Goodwill Resulting from Business Combinations         0.4  
HVAC reportable segment            
Changes in the carrying amount of goodwill            
Gross goodwill, beginning of the period     480.0 492.2 480.0  
Accumulated impairment, balance at the beginning of the period     (332.5) (340.6) (332.5)  
Goodwill, balance at the beginning of the period     147.5 151.6 147.5  
Goodwill Resulting from Business Combinations       46.0 0.8  
Impairments         0.0  
Gross goodwill related to foreign currency translation and other       (9.3) 11.4  
Accumulated impairments related to foreign currency translation and other       6.5 (8.1)  
Goodwill related to foreign currency translation and other       (2.8) 3.3  
Gross goodwill, end of the period 528.9     528.9 492.2  
Accumulated impairment, balance at the end of the period (334.1)     (334.1) (340.6)  
Goodwill, balance at the end of the period 194.8     194.8 151.6  
Detection and Measurement reportable segment            
Changes in the carrying amount of goodwill            
Gross goodwill, beginning of the period     304.1 351.5 304.1  
Accumulated impairment, balance at the beginning of the period     (133.6) (134.5) (133.6)  
Goodwill, balance at the beginning of the period     $ 170.5 217.0 170.5  
Goodwill Resulting from Business Combinations       78.7 42.7  
Gross goodwill       0.0    
Accumulated impairment       (28.2)    
Impairments       (28.2) 0.0  
Gross goodwill related to foreign currency translation and other       (5.3) 4.7  
Accumulated impairments related to foreign currency translation and other       0.3 (0.9)  
Goodwill related to foreign currency translation and other       (5.0) 3.8  
Gross goodwill, end of the period 424.9     424.9 351.5  
Accumulated impairment, balance at the end of the period (162.4)     (162.4) (134.5)  
Goodwill, balance at the end of the period $ 262.5     $ 262.5 $ 217.0