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Operations and Summary of Significant Accounting Policies - Carrying Amount of Acquired Intangible Assets (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Dec. 31, 2019 | Dec. 31, 2020 | Dec. 31, 2019
Finite-lived Intangible Assets [Roll Forward] |  |  |
Finite-lived intangible assets, beginning of period |  | $ 937.9 | $ 954.1
Sale of a joint venture |  |  | (6.1)
Impairment charge | $ (3.0) |  | (3.0)
Foreign currency translation |  | 20.6 | (7.1)
Finite-lived intangible assets, end of period | 937.9 | 958.5 | 937.9
Trademarks and Trade Names |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |
Finite-lived intangible assets, beginning of period |  | 199.3 | 203.4
Sale of a joint venture |  |  | (1.3)
Impairment charge |  |  | (1.1)
Foreign currency translation |  | 6.7 | (1.7)
Finite-lived intangible assets, end of period | 199.3 | 206.0 | 199.3
Customer relationships |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |
Finite-lived intangible assets, beginning of period |  | 579.0 | 586.3
Sale of a joint venture |  |  | (2.9)
Impairment charge |  |  | (0.8)
Foreign currency translation |  | 6.4 | (3.6)
Finite-lived intangible assets, end of period | 579.0 | 585.4 | 579.0
Patents and Technology |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |
Finite-lived intangible assets, beginning of period |  | 151.1 | 155.8
Sale of a joint venture |  |  | (1.9)
Impairment charge |  |  | (1.1)
Foreign currency translation |  | 6.9 | (1.7)
Finite-lived intangible assets, end of period | 151.1 | 158.0 | 151.1
Land Use Rights |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |
Finite-lived intangible assets, beginning of period |  | 8.5 | 8.6
Sale of a joint venture |  |  | 0.0
Impairment charge |  |  | 0.0
Foreign currency translation |  | 0.6 | (0.1)
Finite-lived intangible assets, end of period | $ 8.5 | $ 9.1 | $ 8.5

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- Definition Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 928 -SubTopic 340 -Section 50 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=6473545&loc=d3e61844-108004 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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