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Business Acquisitions and Divestitures (Details) $ / shares in Units, $ in Thousands, € in Millions |  |  |  |  | 9 Months Ended | 12 Months Ended |  |  |  |  |  |  |  |  |  |  |  |  |  |
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May 15, 2017 USD ($) | Dec. 31, 2016 USD ($) | Dec. 27, 2016 USD ($) | Oct. 02, 2015 USD ($) | Oct. 02, 2015 USD ($) | Dec. 31, 2017 USD ($) acquisition | Dec. 31, 2016 USD ($) business | Dec. 31, 2015 USD ($) business | Nov. 17, 2017 $ / shares | Sep. 15, 2017 | Aug. 04, 2017 | Oct. 31, 2016 | Apr. 01, 2016 | Jan. 07, 2016 | Oct. 26, 2015 | Oct. 21, 2015 | Oct. 02, 2015 EUR (€) | Oct. 02, 2015 USD ($) | Sep. 01, 2015 | Jul. 20, 2015 | Mar. 04, 2015 | Feb. 09, 2015 | Jan. 21, 2015
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of businesses acquired |  |  |  |  |  | 4 | 6 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Consideration transferred |  |  |  |  |  | $ 152,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Goodwill acquired |  |  |  |  |  | 82,659 | $ 2,876,991 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Identifiable intangibles |  |  |  |  |  | 85,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Goodwill |  | $ 8,647,142 |  |  |  | 8,820,313 | 8,647,142 | $ 5,824,726 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Acquisition-related Costs |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Pro forma earnings |  |  |  |  |  |  | $ 47,400 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Energy Systems & Controls | Disposal Group, Disposed of by Sale, Not Discontinued Operations |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Consideration received on disposal | $ 10,400 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Gain on disposal | $ 9,400 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Abel Pumps LP | Disposal Group, Disposed of by Sale, Not Discontinued Operations |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Consideration received on disposal |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | € 95 | $ 106,000 |  |  |  |  |
Gain on disposal |  |  |  | $ 70,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Tax expense related to gain on disposal group |  |  |  | 46,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Future tax benefit related to sale of disposal group |  |  |  | $ 11,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Year to date income of disposal group prior to disposal |  |  |  |  | $ 5,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Customer related intangibles |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Finite-lived intangibles |  |  |  |  |  | $ 68,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life of finite-lived intangible assets |  |  |  |  |  | 15 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Unpatented technology |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Finite-lived intangibles |  |  |  |  |  | $ 13,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
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 | $ / shares |  |  |  |  |  |  |  |  | $ 9.00 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Deltek |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Consideration transferred |  |  | $ 2,800,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting interests acquired |  |  | 100.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Identifiable intangibles |  |  | $ 972,000 |  |  | $ 972,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Finite-lived intangibles |  |  |  |  |  | $ 765,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life of finite-lived intangible assets |  |  |  |  |  | 12 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Indefinite-lived intangible assets |  |  |  |  |  | $ 145,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Transaction costs |  |  |  |  |  | 4,300 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Revenue of acquiree since acquisition date |  | 7,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Earnings or loss of acquiree since acquisition date |  | 800 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Goodwill |  |  | $ 2,234,549 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Deltek | Customer related intangibles |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Finite-lived intangibles |  |  |  |  |  | $ 625,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life of finite-lived intangible assets |  |  |  |  |  | 13 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Deltek | Unpatented technology |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Finite-lived intangibles |  |  |  |  |  | $ 140,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life of finite-lived intangible assets |  |  |  |  |  | 6 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Deltek | In process research and development |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Finite-lived intangibles |  |  |  |  |  | $ 62,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Series of Individually Immaterial Business Acquisitions |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of businesses acquired | business |  |  |  |  |  |  | 5 | 8 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Consideration transferred |  |  |  |  |  |  | $ 920,000 | $ 1,800,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Identifiable intangibles |  | 372,000 |  |  |  |  | 372,000 | 731,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Finite-lived intangibles |  | 338,000 |  |  |  |  | $ 338,000 | $ 680,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life of finite-lived intangible assets |  |  |  |  |  |  | 12 years | 17 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Indefinite-lived intangible assets |  | 34,000 |  |  |  |  | $ 34,000 | $ 51,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Transaction costs |  | 4,200 |  |  |  |  | 4,200 | 5,900 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Goodwill |  | 642,000 |  |  |  |  | 642,000 | 1,200,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Series of Individually Immaterial Business Acquisitions | Customer related intangibles |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Finite-lived intangibles |  | 242,000 |  |  |  |  | $ 242,000 | $ 541,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life of finite-lived intangible assets |  |  |  |  |  |  | 14 years | 19 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Series of Individually Immaterial Business Acquisitions | Unpatented technology |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Finite-lived intangibles |  | 66,000 |  |  |  |  | $ 66,000 | $ 100,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life of finite-lived intangible assets |  |  |  |  |  |  | 6 years | 8 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Series of Individually Immaterial Business Acquisitions | Software |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Finite-lived intangibles |  | $ 30,000 |  |  |  |  | $ 30,000 | $ 39,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life of finite-lived intangible assets |  |  |  |  |  |  | 9 years | 6 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
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% |  |  |  |  |  |  |  |  |  |  |
Strata |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting interests acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 100.00%
Softwriters Inc. |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting interests acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 100.00% |
Data Innovations LLC |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting interests acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 100.00% |  |
Atlas |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting interests acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 100.00% |  |  |  |  |  |  |  |
On Center |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting interests acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 100.00% |  |  |
RF IDeas, Inc. |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting interests acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 100.00% |  |  |  |
Aderant |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting interests acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 100.00% |  |  |  |  |  |  |

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