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Intangible assets
9 Months Ended
Sep. 30, 2023
Goodwill and Intangible Assets Disclosure [Abstract]  
Intangible assets Intangible assets
As of September 30, 2023As of December 31, 2022
(dollars in millions)
CostAccumulated
amortization and
impairment
NetCostAccumulated
amortization and
impairment
Net
Finite-lived:
—Customer relationships
$1,966.2 $(1,077.1)$889.1 $1,973.7 $(993.2)$980.5 
—Technology
90.4 (90.1)0.3 90.4 (89.6)0.8 
—Capitalized software
113.1 (72.3)40.8 105.4 (65.7)39.7 
2,169.7 (1,239.5)930.2 2,169.5 (1,148.5)1,021.0 
Indefinite-lived:
—Brands and trade names
513.4 (44.0)469.4 513.4 (44.0)469.4 
Total intangible assets
$2,683.1 $(1,283.5)$1,399.6 $2,682.9 $(1,192.5)$1,490.4 
During the three months ended September 30, 2023, the amortization expense recognized in respect of intangible assets was $32.1 million, compared to $31.6 million for the three months ended October 1, 2022. In addition, movements in foreign currency exchange rates resulted in a decrease in the net carrying value of total intangible assets of $10.3 million for the three months ended September 30, 2023, compared to a decrease of $25.6 million for the three months ended October 1, 2022.
During the nine months ended September 30, 2023, the amortization expense recognized in respect of intangible assets was $96.4 million, compared to $96.9 million for the nine months ended October 1, 2022. In addition, movements in foreign currency exchange rates resulted in a decrease in the net carrying value of total intangible assets of $3.0 million for the nine months ended September 30, 2023, compared to a decrease of $60.4 million for the nine months ended October 1, 2022.