Pensions and Postretirement Benefits Other Than Pensions (Schedule of Company's Pension Plans) (Details) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Dec. 31, 2014	Dec. 31, 2013	Dec. 31, 2012
Amounts included in the balance sheet:
Other noncurrent assets	$ 939.9	$ 1,010.4
Pension Plans [Member]
Funded status:
Plan assets less than the benefit obligations	(701.0)	(554.0)
Amounts included in the balance sheet:
Other noncurrent assets	11.5	4.3
Accrued compensation and benefits	(11.3)	(30.8)
Postemployment and other benefit liabilities	(701.2)	(527.5)
Net amount recognized	(701.0)	(554.0)
Change In Benefit Obligations [Member] | Pension Plans [Member]
Change in benefit obligations:
Benefit obligation at beginning of year	3,333.2	4,228.6
Service cost	68.7	88.5
Interest cost	147.2	156.9
Employee contributions	1.2	1.5
Amendments	9.2	1.2
Actuarial (gains) losses	448.3	(314.4)
Benefits paid	(215.3)	(211.6)
Currency translation	(57.8)	19.5
Curtailments and settlements	(4.1)	(3.7)
Other, including expenses paid	(11.0)	(2.2)
Benefit obligation at end of year	3,719.6	3,333.2
Change in plan assets:
Employee contributions	1.2	1.5
Benefits paid	(215.3)	(211.6)
Other, including expenses paid	(11.0)	(2.2)
Change In Plan Assets [Member] | Pension Plans [Member]
Change in benefit obligations:
Employee contributions	1.2	1.5
Benefits paid	(215.3)	(211.6)
Other, including expenses paid	(11.0)	(2.1)
Change in plan assets:
Fair value at beginning of year	2,779.2	3,310.2
Actual return on assets	395.2	98.9
Company contributions	116.5	109.7	89.1
Employee contributions	1.2	1.5
Benefits paid	(215.3)	(211.6)
Currency translation	(43.1)	17.7
Settlements	(4.1)	(1.6)
Other, including expenses paid	(11.0)	(2.1)
Fair value at end of year	3,018.6	2,779.2	3,310.2
Allegion [Member]
Change in benefit obligations:
Increase (Decrease) in Pension Plan Obligations	0	(631.1)
Change in plan assets:
Impact of spin-off	$ 0	$ 543.5