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Goodwill and Intangible Assets (Tables)
9 Months Ended
Sep. 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 nine months ended September 30, 2022:
(in millions)Total
Beginning balance$239.2 
Translation adjustments(2.7)
Ending balance$236.5 
Schedule of Amortizable Intangible Assets The following summarizes the amounts reported as intangible assets:
(in millions)Gross
Carrying
Amount
Accumulated
Amortization
Net
At September 30, 2022
Purchased licenses and technologies$612.4 $(241.6)$370.8 
Total intangible assets$612.4 $(241.6)$370.8 
(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 September 30, 2022
Purchased licenses and technologies$612.4 $(241.6)$370.8 
Total intangible assets$612.4 $(241.6)$370.8 
(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
September 30,
Nine months ended
September 30,
(in millions)2022202120222021
Amortization of intangible assets$10.2 $11.6 $30.5 $40.6