Commitments and Contingencies (Schedule of Asbestos-Related Balances) (Details) - USD ($) $ in Millions	Jun. 30, 2018	Dec. 31, 2017
Accrued expenses and other current liabilities	$ 1,892.6	$ 1,655.2
Other noncurrent liabilities	1,079.5	1,138.6
Other current assets	512.0
Other noncurrent assets	863.4	824.3
Asbestos [Member]
Accrued expenses and other current liabilities	48.9	48.2
Other noncurrent liabilities	516.4	556.6
Total asbestos-related liabilities	565.3	604.8
Other current assets	63.9	56.1
Other noncurrent assets	192.1	210.3
Total asset for probable asbestos-related insurance recoveries	256.0	266.4
IR New Jersey [Member]
Other noncurrent assets	437.6	471.1
IR New Jersey [Member] | Asbestos [Member]
Total asset for probable asbestos-related insurance recoveries	130.5	138.5
Trane [Member] | Asbestos [Member]
Total asset for probable asbestos-related insurance recoveries	$ 125.5	$ 127.9