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Commitments and Contingencies (Narrative) (Details) - USD ($)
$ in Millions
6 Months Ended 9 Months Ended
Jun. 17, 2020
Sep. 30, 2020
Sep. 30, 2019
Dec. 31, 2019
Deconsolidation, Gain (Loss), Amount   $ 22.7    
Cash Divested from Deconsolidation   10.8 $ 0.0  
Reserves for environmental matters   39.3   $ 40.2
Percentage of non-malignant claims, minimum 73.00%     73.00%
Total current standard product warranty reserve   142.9   $ 124.9
Total current extended warranty liability   104.9   107.3
Expected annual inflation rate 2.50%      
Adjusted Expected Annual Inflation Rate 1.00%      
Legacy Legal Liability Overstatement   17.4    
Aldrich and Murray [Member]        
Cost Method Investments   53.6    
Discontinued Operations [Member]        
Reserves for environmental matters   36.9   37.5
Discontinued Operations [Member] | Trane Technologies Company LLC [Member]        
Deconsolidation, Gain (Loss), Amount   23.6    
Continuing and Discontinued Operations [Member]        
Cash Divested from Deconsolidation   41.7    
Continuing Operations [Member]        
Deconsolidation, Gain (Loss), Amount   0.9    
Asbestos [Member]        
Liability from Deconsolidation   $ 248.8    
Loss Contingency, Receivable $ 270.9     304.0
Asbestos [Member] | Trane Technologies Company LLC [Member]        
Loss Contingency, Receivable 160.4     188.7
Asbestos [Member] | Murray [Member]        
Loss Contingency, Receivable $ 110.5     $ 115.3