Intangible Assets, net and Goodwill - Intangible Assets (Details) - USD ($) $ in Millions	Dec. 31, 2018	Dec. 31, 2017
Amortizable intangible assets:
Amortizable intangible assets, gross carrying amount	$ 2,814.7	$ 2,340.5
Amortizable intangible assets, accumulated amortization	(1,099.8)	(830.1)
Amortizable intangible assets, net balance	1,714.9	1,510.4
Non-amortizable intangible assets
Total intangible assets, gross carrying amount	2,911.0	2,436.8
Total intangible assets, accumulated amortization	(1,101.9)	(832.2)
Total intangible assets, net balance	1,809.1	1,604.6
Trade names
Non-amortizable intangible assets
Non-amortizable intangible assets, gross carrying amount	96.3	96.3
Non-amortizable intangible assets, accumulated amortization	(2.1)	(2.1)
Non-amortizable intangible assets, net balance	94.2	94.2
Customer relationships
Amortizable intangible assets:
Amortizable intangible assets, gross carrying amount	1,083.9	881.4
Amortizable intangible assets, accumulated amortization	(298.7)	(214.8)
Amortizable intangible assets, net balance	785.2	666.6
Intellectual property
Amortizable intangible assets:
Amortizable intangible assets, gross carrying amount	930.6	788.1
Amortizable intangible assets, accumulated amortization	(452.6)	(332.7)
Amortizable intangible assets, net balance	478.0	455.4
Licenses
Amortizable intangible assets:
Amortizable intangible assets, gross carrying amount	546.2	419.5
Amortizable intangible assets, accumulated amortization	(253.5)	(206.9)
Amortizable intangible assets, net balance	292.7	212.6
Brand names
Amortizable intangible assets:
Amortizable intangible assets, gross carrying amount	123.4	125.7
Amortizable intangible assets, accumulated amortization	(58.9)	(46.5)
Amortizable intangible assets, net balance	64.5	79.2
Trade names
Amortizable intangible assets:
Amortizable intangible assets, gross carrying amount	107.3	98.7
Amortizable intangible assets, accumulated amortization	(22.5)	(14.7)
Amortizable intangible assets, net balance	84.8	84.0
Patents and other
Amortizable intangible assets:
Amortizable intangible assets, gross carrying amount	23.3	27.1
Amortizable intangible assets, accumulated amortization	(13.6)	(14.5)
Amortizable intangible assets, net balance	$ 9.7	$ 12.6