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Commitments and Contingencies (Schedule of Asbestos-Related Balances) (Details) - USD ($)
$ in Millions
Jun. 30, 2016
Dec. 31, 2015
Accrued expenses and other current liabilities $ 1,501.1 $ 1,457.5
Other noncurrent liabilities 1,126.5 1,170.4
Other current assets 364.9 311.3
Other noncurrent assets 846.8 876.8
Asbestos [Member]    
Accrued expenses and other current liabilities 67.0 65.7
Other noncurrent liabilities 608.3 648.0
Total asbestos-related liabilities 675.3 713.7
Other current assets 54.0 51.3
Other noncurrent assets 240.0 264.3
Total asset for probable asbestos-related insurance recoveries 294.0 315.6
IR New Jersey [Member]    
Other noncurrent assets 717.8 733.4
IR New Jersey [Member] | Asbestos [Member]    
Total asset for probable asbestos-related insurance recoveries 146.7 166.4
Trane [Member] | Asbestos [Member]    
Total asset for probable asbestos-related insurance recoveries $ 147.3 $ 149.2