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Income Taxes - Uncertain Tax Positions (Details) - USD ($) $ in Millions | 12 Months Ended
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Dec. 31, 2022 | Dec. 31, 2021 | Dec. 31, 2020
Uncertain tax positions: |  |  |
Beginning of year | $ 28.9 | $ 14.0 | $ 12.0
Increases related to prior-year tax positions | 1.2 | 3.0 | 0.0
Decreases related to prior-year tax positions | (2.9) | (0.4) | (0.2)
Increases related to current-year tax positions | 2.3 | 5.2 | 2.3
Increases related to acquisitions | 0.3 | 11.8 | 4.1
Settlements | (2.4) | (2.5) | (2.1)
Effect of the expiration of statutes of limitation | (1.9) | (1.6) | (1.4)
Foreign currency exchange effects | (2.0) | (0.6) | (0.7)
End of year | $ 23.5 | $ 28.9 | $ 14.0

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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 https://asc.fasb.org/extlink&oid=123427490&loc=SL37586934-109318 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15A -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=121826272&loc=SL6600010-109319 + Details
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