Goodwill and Other Assets (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2017	Dec. 31, 2016	Dec. 31, 2015
Goodwill [Line Items]
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months	$ 147.9
Goodwill	1,407.8	$ 1,289.0	$ 452.2
Accumulated impairment losses	(290.7)	(290.7)	(290.7)
Beginning balance	998.3	161.5
Goodwill acquired		882.6
Impairment loss	0.0
Goodwill, Purchase Accounting Adjustments	(2.9)	(0.5)
Currency translation adjustment	116.1	(45.3)
Ending balance	1,117.1	998.3	161.5
Amount of fair value in excess of carrying amount	50.0
Impairment of assets	3.1	9.8	18.9
Finite-Lived Intangible Assets, Amortization Expense, Year Two	125.1
Finite-Lived Intangible Assets, Amortization Expense, Year Three	96.2
Finite-Lived Intangible Assets, Amortization Expense, Year Four	86.0
Finite-Lived Intangible Assets, Amortization Expense, Year Five	78.2
Finite-Lived Intangible Assets, Net	533.4
Latin America Segment | Latin America Reporting Unit [Member]
Goodwill [Line Items]
Amount of fair value in excess of carrying amount	$ 15.4
Percentage of fair value in excess of carrying amount	8.10%
Asia Pacific Segment | Asia Pacific Reporting Unit [Member]
Goodwill [Line Items]
Amount of fair value in excess of carrying amount	$ 1.3
Percentage of fair value in excess of carrying amount	0.60%
Services Segment [Member]
Goodwill [Line Items]
Goodwill	$ 957.2	890.0	452.2
Accumulated impairment losses	(290.7)	(290.7)	(290.7)
Beginning balance	599.3	161.5
Goodwill acquired	5.6	459.1
Goodwill, Purchase Accounting Adjustments	(1.1)	(0.5)
Currency translation adjustment	62.7	(20.8)
Ending balance	666.5	599.3	161.5
Systems Segment [Member]
Goodwill [Line Items]
Goodwill	196.6	174.1	0.0
Accumulated impairment losses	0.0	0.0	0.0
Beginning balance	174.1	0.0
Goodwill acquired	0.0	184.8
Goodwill, Purchase Accounting Adjustments	(0.8)	0.0
Currency translation adjustment	23.3	(10.7)
Ending balance	196.6	174.1	0.0
Software Segment [Member]
Goodwill [Line Items]
Goodwill	254.0	224.9	0.0
Accumulated impairment losses	0.0	0.0	0.0
Beginning balance	224.9	0.0
Goodwill acquired	0.0	238.7
Goodwill, Purchase Accounting Adjustments	(1.0)	0.0
Currency translation adjustment	30.1	(13.8)
Ending balance	$ 254.0	$ 224.9	$ 0.0