Income Taxes (Narrative) (Details) (USD $) In Millions, unless otherwise specified	3 Months Ended	12 Months Ended
	Dec. 31, 2013	Dec. 31, 2014	Dec. 31, 2013	Dec. 31, 2012	Dec. 31, 2011	Jul. 20, 2007
Income tax holiday, aggregate dollar amount		$ 24.7	$ 25.3	$ 13.7
Undistributed earnings		11,100
Net operating loss carryforward benefit would be recorded in Additional paid in capital		38.2
Unrecognized tax benefits	363.3	343.8	363.3	497.5	503.4
Unrecognized tax benefits that would impact effective tax rate		266.5
Indemnity Receivable Related to Competent Authority Relief		58.2
Interest and Penalties Related to Competent Authority Relief		9.7
Unrecognized tax benefits, income tax penalties and interest accrued	71.9	69.7	71.9
Unrecognized tax benefits, income tax penalties and interest expense recognized		2.5	(5.9)
Significant Change in Unrecognized Tax Benefits is Reasonably Possible, Amount of Unrecorded Benefit		5.9
Period Changes In Unrecognized Tax Benefit, in months		12
Unrecognized Tax Benefits, Decreases Resulting from Settlements with Taxing Authorities		8.0	84.7	50.6
Withholding Tax Percentage Proposed						30.00%
IRS assertion of additional taxes due						84.0
Income Tax Examination, Increase (Decrease) in Liability from Prior Year		25.0
Tax benefit to continuing operations		293.7	189.0	56.0
Deferred Foreign and State and Local Income Tax Expense (Benefit)		74.3
Income Tax Expense (Benefit) From Change in Liability for Unrecognized Tax Benefits		36.0
Tax Adjustments, Settlements, and Unusual Provisions		75.0
Deferred Tax Liability Not Recognized, Tax Effects from Change of Tax Position	51
Hong Kong, Australia, and Canada Subsidiaries [Member]
Undistributed earnings		740
Allegion [Member]
Indemnification on spin-off from unrecognized tax benefit		1.9
Trane [Member]
Indemnification on spin-off from unrecognized tax benefit		2.8
Decrease to valuation allowance [Member]
Tax benefit to continuing operations			140.0
Allegion [Member]
Indemnity Receivable Related to Competent Authority Relief		58.2
Indemnity Payable Related to Competent Authority Relief		7.0
Tax Year 2002 [Member]
Income Tax Examination, Estimate of Possible Loss		109.0
2003 to 2006 Tax Years [Member]
Income Tax Examination, Estimate of Possible Loss		665.0
IRS assertion of additional taxes due		455.0
Penalty percentage on asserted underpayment of tax		30.00%
2002 to 2006 Tax Years [Member]
IRS assertion of additional taxes due		$ 210.0
Penalty percentage on asserted underpayment of tax		20.00%