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Goodwill and Intangible Assets (Tables) | 6 Months Ended
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Jun. 30, 2022
Goodwill and Intangible Assets Disclosure [Abstract] |
Schedule of Changes in Carrying Amount of Goodwill | The following table summarizes the changes in the carrying amount of goodwill for the six months ended June 30, 2022:
(in millions) | Total
Beginning balance | $ | 239.2 |
Translation adjustments | (1.4) |
Ending balance | $ | 237.8 |
Schedule of Amortizable Intangible Assets | The following summarizes the amounts reported as intangible assets:
(in millions) | Gross Carrying Amount |  | Accumulated Amortization |  | Net
At June 30, 2022 |  |  |  |  |
Purchased licenses and technologies | $ | 614.4 |  |  | $ | (232.1) |  |  | $ | 382.3 |
Total intangible assets | $ | 614.4 |  |  | $ | (232.1) |  |  | $ | 382.3 |
(in millions) | Gross Carrying Amount |  | Accumulated Amortization |  | Net
At December 31, 2021 |  |  |  |  |
Purchased licenses and technologies | $ | 616.6 |  |  | $ | (212.5) |  |  | $ | 404.1 |
Total intangible assets | $ | 616.6 |  |  | $ | (212.5) |  |  | $ | 404.1 |
Schedule of Non-amortizable Intangible Assets | The following summarizes the amounts reported as intangible assets:
(in millions) | Gross Carrying Amount |  | Accumulated Amortization |  | Net
At June 30, 2022 |  |  |  |  |
Purchased licenses and technologies | $ | 614.4 |  |  | $ | (232.1) |  |  | $ | 382.3 |
Total intangible assets | $ | 614.4 |  |  | $ | (232.1) |  |  | $ | 382.3 |
(in millions) | Gross Carrying Amount |  | Accumulated Amortization |  | Net
At December 31, 2021 |  |  |  |  |
Purchased licenses and technologies | $ | 616.6 |  |  | $ | (212.5) |  |  | $ | 404.1 |
Total intangible assets | $ | 616.6 |  |  | $ | (212.5) |  |  | $ | 404.1 |
Schedule of Recorded Amortization Expense for Intangible Assets | The Company recorded amortization expense during the respective periods for these intangible assets as follows:
| Three months ended June 30, |  | Six months ended June 30,
(in millions) | 2022 |  |  | 2021 |  | 2022 |  |  | 2021
Amortization of intangible assets | $ | 10.2 |  |  |  | $ | 13.5 |  |  | $ | 20.3 |  |  |  | $ | 29.0 |

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