Segment and Geographic Area Information - Schedule of Segment Reporting Information, by Segment (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2018	Sep. 30, 2018	Jun. 30, 2018	Mar. 31, 2018	Dec. 31, 2017	Sep. 30, 2017	Jun. 30, 2017	Mar. 31, 2017	Dec. 31, 2018	Dec. 31, 2017	Dec. 31, 2016
Segment Reporting Information [Line Items]
Net revenues	$ 1,376.3	$ 1,318.7	$ 1,293.7	$ 1,202.5	$ 1,226.6	$ 1,159.9	$ 1,134.7	$ 1,086.3	$ 5,191.2	$ 4,607.5	$ 3,789.9
Operating profit									1,396.4	1,210.2	1,054.6
Assets:
Operating assets	1,269.6				1,206.2				1,269.6	1,206.2	1,128.9
Intangible assets, net	13,188.9				12,295.5				13,188.9	12,295.5	12,303.0
Other	791.0				814.7				791.0	814.7	893.0
Total assets	15,249.5				14,316.4				15,249.5	14,316.4	14,324.9
Capital expenditures									49.1	48.8	37.3
Capitalized software expenditures									9.5	10.8	2.8
Depreciation and other amortization									367.0	345.0	240.5
Scientific Imaging businesses | Disposal group, held-for-sale, not discontinued operations
Assets:
Operating assets classified as held for sale	91.8								91.8
Intangible assets, net classified as held for sale	159.4								159.4
Operating Segments | RF Technology
Segment Reporting Information [Line Items]
Net revenues									2,168.4	1,862.1	1,210.3
Operating profit									613.8	479.3	372.5
Assets:
Operating assets	622.7				518.4				622.7	518.4	487.9
Intangible assets, net	7,881.1				6,660.9				7,881.1	6,660.9	6,635.0
Other	163.8				192.1				163.8	192.1	156.4
Capital expenditures									23.3	20.1	11.5
Capitalized software expenditures									9.4	10.0	0.0
Depreciation and other amortization									218.1	191.9	82.7
Operating Segments | Medical & Scientific Imaging
Segment Reporting Information [Line Items]
Net revenues									1,522.4	1,410.4	1,362.8
Operating profit									521.0	486.6	477.5
Assets:
Operating assets	266.2				309.2				266.2	309.2	282.4
Intangible assets, net	4,300.7				4,590.7				4,300.7	4,590.7	4,660.3
Other	368.2				131.1				368.2	131.1	154.8
Capital expenditures									15.4	18.8	16.1
Capitalized software expenditures									0.1	0.8	2.8
Depreciation and other amortization									115.5	118.6	119.2
Operating Segments | Industrial Technology
Segment Reporting Information [Line Items]
Net revenues									900.0	783.7	706.6
Operating profit									284.3	235.0	202.5
Assets:
Operating assets	202.9				195.4				202.9	195.4	182.4
Intangible assets, net	483.8				499.5				483.8	499.5	493.9
Other	49.4				76.2				49.4	76.2	88.1
Capital expenditures									6.6	5.7	6.6
Capitalized software expenditures									0.0	0.0	0.0
Depreciation and other amortization									16.9	17.1	18.6
Operating Segments | Energy Systems & Controls
Segment Reporting Information [Line Items]
Net revenues									600.4	551.3	510.2
Operating profit									180.8	151.1	129.6
Assets:
Operating assets	171.7				175.8				171.7	175.8	164.4
Intangible assets, net	523.3				544.4				523.3	544.4	513.8
Other	106.3				196.5				106.3	196.5	135.0
Capital expenditures									3.7	3.2	2.2
Capitalized software expenditures									0.0	0.0	0.0
Depreciation and other amortization									15.7	16.8	19.7
Corporate
Segment Reporting Information [Line Items]
Net revenues									0.0	0.0	0.0
Operating profit									(203.5)	(141.8)	(127.5)
Assets:
Operating assets	6.1				7.4				6.1	7.4	11.8
Intangible assets, net	0.0				0.0				0.0	0.0	0.0
Other	$ 103.3				$ 218.8				103.3	218.8	358.7
Capital expenditures									0.1	1.0	0.9
Capitalized software expenditures									0.0	0.0	0.0
Depreciation and other amortization									$ 0.8	$ 0.6	$ 0.3