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Income Taxes - Activity for Unrecognized Gross Tax Benefits (Details) - USD ($) $ in Millions | 12 Months Ended
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Dec. 31, 2020 | Dec. 31, 2019 | Dec. 31, 2018
Unrecognized Gross Tax Benefits |  |  |
Balance at beginning of year | $ 130.0 | $ 112.2 | $ 114.8
Acquired balances | 0.0 | 15.5 | 0.0
Additions for tax benefits related to the current year | 11.9 | 9.4 | 7.4
Additions for tax benefits of prior years | 12.3 | 8.0 | 2.8
Reductions for tax benefits of prior years | (1.4) | (0.2) | (1.9)
Lapse of statute | (1.3) | (8.2) | (10.9)
Settlements | (0.5) | (6.7) | 0.0
Balance at end of year | $ 151.0 | $ 130.0 | $ 112.2

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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=120406818&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 http://asc.fasb.org/extlink&oid=84230637&loc=SL6600010-109319 + Details
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