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Goodwill (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Dec. 31, 2019 | Dec. 31, 2018 | Dec. 31, 2017
Change in the carrying amount of goodwill |  |  |
Balance at the beginning of the year | $ 1,870.8 | $ 1,842.6 | $ 1,827.4
Acquisitions | 131.8 | 33.8 | 10.3
Purchase price allocation adjustments | (1.9) |  |
Foreign currency translation gains (losses) | 3.1 | (5.6) | 4.9
Balance at the end of the year | 2,003.8 | $ 1,870.8 | $ 1,842.6
Accumulated impairment losses | 0.0 |  |
Goodwill, tax deductible amount | 817.4 |  |
2019 Acquisitions |  |  |
Change in the carrying amount of goodwill |  |  |
Goodwill, tax deductible amount | $ 131.0 |  |

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- Definition 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. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 45 -Paragraph 5 -URI http://asc.fasb.org/extlink&oid=77989000&loc=SL49117168-202975 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 45 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=99380562&loc=d3e13770-109266 + Details
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