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Goodwill and Intangible Assets (Tables)
6 Months Ended
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)2022202120222021
Amortization of intangible assets$10.2 $13.5 $20.3 $29.0