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Goodwill and Other Intangible Assets | 9 Months Ended
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Sep. 30, 2022
Goodwill and Intangible Assets Disclosure [Abstract] |
Goodwill and Other Intangible Assets | Goodwill and Other Intangible Assets White Mountains accounts for purchases of businesses using the acquisition method. Under the acquisition method, White Mountains recognizes and measures the assets acquired, liabilities assumed and any non-controlling interest in the acquired entities at their acquisition date fair values. The estimated acquisition date fair values, generally consisting of intangible assets and liabilities for contingent consideration, may be recorded at provisional amounts in circumstances where the information necessary to complete the acquisition accounting is not available at the reporting date. Any such provisional amounts are finalized as measurement period adjustments within one year of the acquisition date. The following table presents the economic lives, acquisition date fair values, accumulated amortization and net carrying values for other intangible assets and goodwill, by reportable segment as of September 30, 2022 and December 31, 2021:
$ in Millions |  | Weighted Average Economic Life (in years) |  | September 30, 2022 |  | December 31, 2021
| Acquisition Date Fair Value |  | Accumulated Amortization |  |  |  | Net Carrying Value |  | Acquisition Date Fair Value |  | Accumulated Amortization |  |  |  | Net Carrying Value
Goodwill: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ark |  | N/A |  | $ | 116.8 |  |  | $ | — |  |  |  |  | $ | 116.8 |  |  | $ | 116.8 |  |  | $ | — |  |  |  |  | $ | 116.8 |
Kudu |  | N/A |  | 7.6 |  |  | — |  |  |  |  | 7.6 |  |  | 7.6 |  |  |  |  |  |  | 7.6 |
Other Operations |  | N/A |  | 51.1 |  |  | — |  |  |  |  | 51.1 |  |  | 17.9 |  |  | — |  |  |  |  | 17.9 |
Total goodwill |  | 175.5 |  |  | — |  |  |  |  | 175.5 |  |  | 142.3 |  |  | — |  |  |  |  | 142.3 |
Other intangible assets: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ark |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Underwriting capacity | N/A |  | 175.7 |  |  | — |  |  |  |  | 175.7 |  |  | 175.7 |  |  | — |  |  |  |  | 175.7 |
Kudu |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Trade names |  | 7 |  | 2.2 |  |  | 1.1 |  |  |  |  | 1.1 |  |  | 2.2 |  |  | .9 |  |  |  |  | 1.3 |
Other Operations |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Trade names |  | 15.9 |  | 17.9 |  |  | 2.4 |  |  |  |  | 15.5 |  |  | 8.2 |  |  | 1.5 |  |  |  |  | 6.7 |
Customer relationships |  | 12.4 |  | 29.5 |  |  | 6.6 |  |  |  |  | 22.9 |  |  | 18.8 |  |  | 4.5 |  |  |  |  | 14.3 |
Other |  | 12.1 |  | 2.8 |  |  | .3 |  |  |  |  | 2.5 |  |  | .3 |  |  | .1 |  |  |  |  | .2 |
Subtotal |  |  |  | 50.2 |  |  | 9.3 |  |  |  |  | 40.9 |  |  | 27.3 |  |  | 6.1 |  |  |  |  | 21.2 |
Total other intangible assets | 228.1 |  |  | 10.4 |  |  |  |  | 217.7 |  |  | 205.2 |  |  | 7.0 |  |  |  |  | 198.2 |
Total goodwill and other intangible assets | $ | 403.6 |  |  | $ | 10.4 |  |  |  |  | 393.2 |  |  | $ | 347.5 |  |  | $ | 7.0 |  |  |  |  | 340.5 |
Goodwill and other intangible assets attributed to non-controlling interests |  | (103.1) |  |  |  |  |  |  |  |  | (91.8) |
Goodwill and other intangible assets included in White Mountains’s common shareholders’ equity |  | $ | 290.1 |  |  |  |  |  |  |  |  | $ | 248.7 |
Intangible Assets Valuation Methods The goodwill recognized for the entities shown above is attributed to expected future cash flows. The acquisition date fair values of other intangible assets with finite lives are estimated using income approach techniques, which use future expected cash flows to develop a discounted present value amount. The multi-period-excess-earnings method estimates fair value using the present value of the incremental after-tax cash flows attributable solely to the other intangible asset over its remaining life. This approach was used to estimate the fair value of other intangible assets associated with the underwriting capacity, trade names, customer relationships and contracts and information technology. The relief-from-royalty method was used to estimate fair value for other intangible assets that relate to rights that could be obtained via a license from a third-party owner. Under this method, the fair value is estimated using the present value of license fees avoided by owning rather than leasing the asset. This technique was used to estimate the fair value of domain names, certain trademarks and brand names. The with-or-without method estimates the fair value of other intangible assets that provide an incremental benefit. Under this method, the fair value of the other intangible asset is calculated by comparing the value of the entity with and without the other intangible asset. This approach was used to estimate the fair value of favorable lease terms. On at least an annual basis beginning no later than the interim period included in the one-year anniversary of an acquisition, White Mountains evaluates goodwill and other intangible assets for potential impairment. Between annual evaluations, White Mountains considers changes in circumstances or events subsequent to the most recent evaluation that may indicate that an impairment may exist and, if necessary will perform an interim review for potential impairment. The following table presents a summary of the acquisition date fair values of goodwill and other intangible assets for acquisitions completed from January 1, 2021 through September 30, 2022:
$ in Millions |  | Goodwill and Other intangible asset (1) |  | Acquisition Date
Acquisition of subsidiary/ asset |  |
Ark |  | $ | 292.5 |  |  | January 1, 2021
Other Operations |  | $ | 86.6 |  |  | Various
(1) Acquisition date fair values include the effect of adjustments during the measurement period and exclude the effect of foreign currency translation subsequent to the acquisition date. The following tables present the change in goodwill and other intangible assets for the three and nine months ended September 30, 2022 and 2021:
|  | Three Months Ended September 30,
|  | 2022 |  | 2021
Millions |  | Goodwill |  | Other Intangible Assets |  | Total Goodwill and Other Intangible Assets |  | Goodwill |  | Other Intangible Assets |  | Total Goodwill and Other Intangible Assets
Beginning balance |  | $ | 201.8 |  |  | $ | 196.2 |  |  | $ | 398.0 |  |  | $ | 151.5 |  |  | $ | 201.1 |  |  | $ | 352.6 |
Attribution of acquisition date fair value estimates between goodwill and other intangible assets (1) |  | (22.9) |  |  | 22.9 |  |  | — |  |  | (9.3) |  |  | 9.3 |  |  | — |
Measurement period adjustments (2) |  | (3.4) |  |  | — |  |  | (3.4) |  |  | (.4) |  |  | — |  |  | (.4) |
Amortization |  | — |  |  | (1.4) |  |  | (1.4) |  |  | — |  |  | (2.0) |  |  | (2.0) |
Ending balance |  | $ | 175.5 |  |  | $ | 217.7 |  |  | $ | 393.2 |  |  | $ | 141.8 |  |  | $ | 208.4 |  |  | $ | 350.2 |
(1) Relates to acquisitions within Other Operations. The relative fair values of goodwill and other intangible assets recognized in connection with acquisitions during 2022 had not yet been finalized as of the end of the period. (2) Measurement period adjustments relate to updated information about acquisition date fair values of assets acquired and liabilities assumed. During the three months ended September 30, 2022 and 2021, adjustments relate to acquisitions within Other Operations.
|  | Nine Months Ended September 30,
|  | 2022 |  | 2021
Millions |  | Goodwill |  | Other Intangible Assets |  | Total Goodwill and Other Intangible Assets |  | Goodwill |  | Other Intangible Assets |  | Total Goodwill and Other Intangible Assets
Beginning balance |  | $ | 142.3 |  |  | $ | 198.2 |  |  | $ | 340.5 |  |  | $ | 19.2 |  |  | $ | 26.4 |  |  | $ | 45.6 |
Ark Transaction |  | — |  |  | — |  |  | — |  |  | 116.8 |  |  | 175.7 |  |  | 292.5 |
Acquisition of businesses (1) |  | 59.5 |  |  | — |  |  | 59.5 |  |  | 15.8 |  |  | — |  |  | 15.8 |
Attribution of acquisition date fair value estimates between goodwill and other intangible assets (1) |  | (22.9) |  |  | 22.9 |  |  | — |  |  | (9.3) |  |  | 9.3 |  |  | — |
Measurement period adjustments (2) |  | (3.4) |  |  |  |  | (3.4) |  |  | (.7) |  |  | .1 |  |  | (.6) |
Amortization |  | — |  |  | (3.4) |  |  | (3.4) |  |  | — |  |  | (3.1) |  |  | (3.1) |
Ending balance |  | $ | 175.5 |  |  | $ | 217.7 |  |  | $ | 393.2 |  |  | $ | 141.8 |  |  | $ | 208.4 |  |  | $ | 350.2 |
(1) Relates to acquisitions within Other Operations. The relative fair values of goodwill and other intangible assets recognized in connection with acquisitions during 2022 had not yet been finalized as of the end of the period. (2) Measurement period adjustments relate to updated information about acquisition date fair values of assets acquired and liabilities assumed. During the nine months ended September 30, 2022 and 2021, adjustments relate to acquisitions within Other Operations.

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- Definition The entire disclosure for goodwill and intangible assets. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -URI https://asc.fasb.org/topic&trid=2144416 + Details
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