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Income taxes - Reconciliation of Changes in Unrecognized Tax Benefits (Details) - USD ($) $ in Millions | 12 Months Ended
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Dec. 31, 2018 | Dec. 31, 2017 | Dec. 31, 2016
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward] |  |  |
Balance at January 1 | $ 27.9 | $ 35.8 | $ 27.7
Additions based on tax positions related to the current year | 2.6 | 4.2 | 2.7
Changes for tax positions of prior years | (6.1) | (11.2) | 12.0
Reductions as a result of a lapse of applicable statute of limitations | (2.4) | (2.7) | (2.8)
Settlements | (1.5) | (0.2) | (0.1)
Changes due to foreign currency | (1.6) | 2.0 | (3.7)
Balance at December 31 | $ 18.9 | $ 27.9 | $ 35.8

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- Definition Unrecognized Tax Benefits, Increases (Decreases) Resulting From Current Period Tax Positions + References No definition available. + Details
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- Definition Unrecognized Tax Benefits, Increases (Decreases) Resulting From Foreign Currency Translation + References No definition available. + Details
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- Definition Unrecognized Tax Benefits, Increases (Decreases) Resulting from Prior Period Tax Positions + References No definition available. + Details
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- Definition A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period. + References No definition available. + Details
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- Definition Amount of unrecognized tax benefits. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 45 -Paragraph 10B -URI http://asc.fasb.org/extlink&oid=84176650&loc=SL37586934-109318 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15A -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=84230637&loc=SL6600010-109319 + Details
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- Definition Amount of decrease in unrecognized tax benefits resulting from settlements with taxing authorities. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15A -Subparagraph (a)(3) -URI http://asc.fasb.org/extlink&oid=84230637&loc=SL6600010-109319 + Details
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- Definition Amount of decrease in unrecognized tax benefits resulting from lapses of applicable statutes of limitations. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15A -Subparagraph (a)(4) -URI http://asc.fasb.org/extlink&oid=84230637&loc=SL6600010-109319 + Details
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