Commitments and Contingencies (Schedule of Asbestos-Related Balances) (Details) - USD ($) $ in Millions	Sep. 30, 2019	Dec. 31, 2018
Accrued expenses and other current liabilities	$ 1,881.0	$ 1,728.2
Other noncurrent liabilities	1,484.7	1,062.4
Other current assets	412.7	471.6
Other noncurrent assets	1,537.5	857.9
Asbestos [Member]
Accrued expenses and other current liabilities	65.9	63.3
Other noncurrent liabilities	496.6	548.3
Total asbestos-related liabilities	562.5	611.6
Other current assets	86.2	69.2
Other noncurrent assets	213.4	199.0
Total asset for probable asbestos-related insurance recoveries	299.6	268.2
IR New Jersey [Member]
Other noncurrent assets	815.5	498.1
IR New Jersey [Member] | Asbestos [Member]
Total asset for probable asbestos-related insurance recoveries	178.3	141.7
Trane [Member] | Asbestos [Member]
Total asset for probable asbestos-related insurance recoveries	$ 121.3	$ 126.5