Commitments and Contingencies (Schedule of Asbestos-Related Balances) (Details) - USD ($) $ in Millions	Mar. 31, 2019	Dec. 31, 2018
Accrued expenses and other current liabilities	$ 1,950.6	$ 1,728.2
Other noncurrent liabilities	1,424.6	1,062.4
Other noncurrent assets	1,380.8	857.9
Asbestos [Member]
Accrued expenses and other current liabilities	65.5	63.3
Other noncurrent liabilities	526.8	548.3
Total asbestos-related liabilities	592.3	611.6
Other current assets	70.0	69.2
Other noncurrent assets	191.2	199.0
Total asset for probable asbestos-related insurance recoveries	261.2	268.2
IR New Jersey [Member]
Other noncurrent assets	782.8	498.1
IR New Jersey [Member] | Asbestos [Member]
Total asset for probable asbestos-related insurance recoveries	139.6	141.7
Trane [Member] | Asbestos [Member]
Total asset for probable asbestos-related insurance recoveries	$ 121.6	$ 126.5