Segment Information (Details) - USD ($) $ in Millions		3 Months Ended								12 Months Ended
		Dec. 31, 2017	Sep. 30, 2017	Jun. 30, 2017	Mar. 31, 2017	Dec. 31, 2016	Sep. 30, 2016	Jun. 30, 2016	Mar. 31, 2016	Dec. 31, 2017	Dec. 31, 2016	Dec. 31, 2015
Summary of Segment Information
Net sales summary by segment		$ 1,249.9	$ 1,122.7	$ 1,133.9	$ 1,102.8	$ 1,243.4	$ 983.3	$ 580.0	$ 509.6	$ 4,609.3	$ 3,316.3	$ 2,419.3
Segment operating profit										(83.6)	(159.8)	58.6
Impairment of assets										(3.1)	(9.8)	(18.9)
Restructuring charges										(49.4)	(59.4)	(21.2)
Other income (expense)										(92.1)	(78.5)	(12.8)
Income (loss) from continuing operations before taxes										(175.7)	(238.3)	45.8
Depreciation, Depletion and Amortization										252.2	134.8	64.0
Property, plant and equipment at cost		$ 783.3				$ 864.0				783.3	864.0
Operating Segments [Member]
Summary of Segment Information
Net sales summary by segment										4,609.3	3,316.3	2,419.3
Segment operating profit										354.3	283.6	225.8
Operating Segments [Member] | Services Segment [Member]
Summary of Segment Information
Net sales summary by segment										2,397.3	1,726.7	1,295.7
Segment operating profit										344.8	298.7	262.8
Operating Segments [Member] | Software Segment [Member]
Summary of Segment Information
Net sales summary by segment										476.6	256.3	139.1
Segment operating profit										33.7	9.6	11.8
Operating Segments [Member] | Systems Segment [Member]
Summary of Segment Information
Net sales summary by segment										1,735.4	1,333.3	984.5
Segment operating profit										(24.2)	(24.7)	(48.8)
Corporate, Non-Segment [Member]
Summary of Segment Information
Corporate charges not allocated back to segments	[1]									(130.1)	(124.9)	(90.7)
Segment Reconciling Items [Member]
Summary of Segment Information
Impairment of assets										(3.1)	(9.8)	(18.9)
Restructuring charges										(49.4)	(59.4)	(21.2)
Net non-routine income (expense)										(255.3)	(249.3)	(36.4)
Corporate And Reconciling Items [Member]
Summary of Segment Information
Reconciliation of Operating Profit (Loss) from Segments to Consolidated										$ (437.9)	$ (443.4)	$ (167.2)

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