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Deferred Tax Liabilities, Parent's Basis in Disposal Group

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Disposal Group, Percentage Of Voting Interests Sold Or To Be Sold

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Weighted average amortization period of finite-lived intangible assets acquired either individually or as part of a group of assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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Percentage of voting equity interests acquired at the acquisition date in the business combination.

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Price of a single share of a number of saleable stocks paid or offered to be paid in a business combination.

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This element represents acquisition-related costs incurred to effect a business combination which costs have been expensed during the period. Such costs include finder's fees; advisory, legal, accounting, valuation, and other professional or consulting fees; general administrative costs, including the costs of maintaining an internal acquisitions department; and may include costs of registering and issuing debt and equity securities.

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Amount of consideration transferred, consisting of acquisition-date fair value of assets transferred by the acquirer, liabilities incurred by the acquirer, and equity interest issued by the acquirer.

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This element represents the amount of earnings or loss of the acquiree since the acquisition date included in the consolidated income statement for the reporting period.

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This element represents the amount of revenue of the acquiree since the acquisition date included in the consolidated income statement for the reporting period.

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Amount of intangible assets, excluding goodwill, acquired at the acquisition date.

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The amount of identifiable intangible assets recognized as of the acquisition date.

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Amount of consideration received or receivable for the disposal of assets and liabilities, including discontinued operation.

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Amount before tax of gain (loss) recognized on the sale or disposal of a disposal group. Excludes discontinued operations.

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Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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The number of businesses acquired by the entity during the period.

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The consolidated profit or loss for the period, net of income taxes, including the portion attributable to the noncontrolling interest.

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Business Acquisitions and Assets and Liabilities Held for Sale - Narrative (Details) $ / shares in Units, $ in Millions				12 Months Ended
	Jun. 04, 2018 USD ($)	May 15, 2017 USD ($)	Dec. 27, 2016 USD ($)	Dec. 31, 2018 USD ($) acquisition	Dec. 31, 2017 USD ($) acquisition	Dec. 31, 2016 USD ($) business	Jul. 10, 2018	Jun. 30, 2018 USD ($)	Jun. 07, 2018	Nov. 17, 2017 $ / shares	Sep. 15, 2017	Aug. 04, 2017	Oct. 31, 2016	Apr. 01, 2016	Jan. 07, 2016
Business Acquisition [Line Items]
Goodwill				$ 9,346.8	$ 8,820.3	$ 8,647.1
Deferred tax liability, excess of book basis over tax basis				10.0	0.0
Deferred tax asset, excess of tax basis over book basis				2.7	$ 0.0
Gatan \| Disposal group, held-for-sale, not discontinued operations
Business Acquisition [Line Items]
Deferred tax liability, excess of book basis over tax basis								$ 10.0
Gatan \| Thermo Fisher \| Disposal group, held-for-sale, not discontinued operations
Business Acquisition [Line Items]
Percentage of interests to be sold								100.00%
Consideration receivable or received on disposal								$ 925.0
Vision businesses \| Disposal group, held-for-sale, not discontinued operations
Business Acquisition [Line Items]
Deferred tax asset, excess of tax basis over book basis				1.8
Vision businesses \| Teledyne \| Disposal group, held-for-sale, not discontinued operations
Business Acquisition [Line Items]
Consideration receivable or received on disposal				$ 225.0
Energy Systems & Controls \| Disposal group, disposed of by sale, not discontinued operations
Business Acquisition [Line Items]
Consideration receivable or received on disposal		$ 10.4
Gain on sale		$ 9.4
2018 Acquisitions
Business Acquisition [Line Items]
Number of businesses acquired \| acquisition				7
Consideration transferred				$ 1,279.0
Goodwill				717.5
Identifiable intangibles				711.3
2018 Acquisitions \| Customer related intangibles
Business Acquisition [Line Items]
Finite-lived intangibles				$ 635.1
Weighted average useful life of finite-lived intangible assets				19 years
2018 Acquisitions \| Unpatented technology
Business Acquisition [Line Items]
Finite-lived intangibles				$ 48.6
Weighted average useful life of finite-lived intangible assets				7 years
Quote Software, PlainSwift Software, and Smartbid
Business Acquisition [Line Items]
Number of businesses acquired \| acquisition				3
PowerPlan, Inc.
Business Acquisition [Line Items]
Consideration transferred	$ 1,111.4
Percentage of voting interests acquired	100.00%
ConceptShare, Inc.
Business Acquisition [Line Items]
Percentage of voting interests acquired									100.00%
BillBlast
Business Acquisition [Line Items]
Percentage of voting interests acquired							100.00%
Avitru
Business Acquisition [Line Items]
Percentage of voting interests acquired				100.00%
2017 Acquisitions
Business Acquisition [Line Items]
Number of businesses acquired \| acquisition					4
Consideration transferred					$ 152.0
Goodwill					82.7
Identifiable intangibles					85.0
2017 Acquisitions \| Customer related intangibles
Business Acquisition [Line Items]
Finite-lived intangibles					$ 68.0
Weighted average useful life of finite-lived intangible assets					15 years
2017 Acquisitions \| Unpatented technology
Business Acquisition [Line Items]
Finite-lived intangibles					$ 13.0
Weighted average useful life of finite-lived intangible assets					6 years
Handshake Software, Inc.
Business Acquisition [Line Items]
Percentage of voting interests acquired												100.00%
Workbook Software A/S
Business Acquisition [Line Items]
Percentage of voting interests acquired											100.00%
Onvia
Business Acquisition [Line Items]
Percentage of voting interests acquired										100.00%
Share price (in dollars per share) \| $ / shares										$ 9.00
2016 Acquisitions
Business Acquisition [Line Items]
Number of businesses acquired \| business						6
Transaction costs						$ 4.2
Deltek
Business Acquisition [Line Items]
Consideration transferred			$ 2,800.0
Percentage of voting interests acquired			100.00%
Transaction costs			$ 4.3
Revenue of acquiree since acquisition date						7.9
Earnings of acquiree since acquisition date						0.8
Deltek \| Acquisition-related costs
Business Acquisition [Line Items]
Pro forma earnings adjustment						$ 47.4
Other acquisitions
Business Acquisition [Line Items]
Number of businesses acquired \| business						5
Consideration transferred						$ 920.0
Goodwill						642.0
Identifiable intangibles						$ 372.0
CliniSys
Business Acquisition [Line Items]
Percentage of voting interests acquired															100.00%
GeneInsight Inc.
Business Acquisition [Line Items]
Percentage of voting interests acquired														100.00%
ConstructConnect
Business Acquisition [Line Items]
Percentage of voting interests acquired													100.00%