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Income Taxes, Unrecognized tax benefits (Details) - USD ($) $ in Millions | 12 Months Ended
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Dec. 31, 2024 | Dec. 31, 2023 | Dec. 31, 2022
Income Taxes |  |  |
Unrecognized tax benefits, anticipated adjustment for changing facts and circumstances, over the next twelve month period | $ 13.0 |  |
Amount for unrecognized tax benefits, including penalties and interest, which if recognized would impact the effective tax rate | 209.7 | $ 208.6 |
Reconciliation of the gross amounts of unrecognized tax benefits |  |  |
Unrecognized tax benefits as of January 1 | 174.2 | 164.1 | $ 147.7
Gross increases for tax positions in prior periods | 15.2 | 3.8 | 12.8
Gross increases for tax positions in current period | 21.1 | 8.4 | 4.9
Settlements | (6.1) | (1.0) | (0.4)
Lapse of statute of limitations | (27.6) | (1.1) | (0.9)
Unrecognized tax benefits at the end of the period | 176.8 | 174.2 | 164.1
Estimated interest and penalties included in provision for income taxes | (4.2) | 5.8 | 0.8
Tax-related interest and penalties liability for unrecognized tax benefits | $ 37.7 | $ 41.8 | $ 35.8

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- Definition The amount of the unrecognized tax benefit of a position taken for which it is reasonably possible that the total amount thereof will significantly increase or decrease within twelve months of the balance sheet date. + References Reference 1: http://fasb.org/us-gaap/role/ref/otherTransitionRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 15 -Subparagraph (d) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482685/740-10-50-15 + Details
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