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Intangible Assets and Liabilities
 3 Months Ended
Mar. 31, 2023
Intangible Assets, Net (Excluding Goodwill) [Abstract]  
Intangible Assets and Liabilities Intangible Assets and Liabilities
The gross carrying amount and accumulated amortization (accretion) of our intangible assets and liabilities, other than goodwill, were as follows:
March 31, 2023December 31, 2022
In thousandsGrossAccumulated
(Amortization) Accretion		NetGrossAccumulated
(Amortization) Accretion		Net
Intangible Assets
Core-developed technology$500,000 $(495,338)$4,662 $498,601 $(492,782)$5,819 
Customer contracts and relationships325,346 (272,107)53,239 322,360 (265,503)56,857 
Trademarks and trade names72,699 (70,727)1,972 72,156 (70,101)2,055 
Other12,018 (11,839)179 12,017 (11,807)210 
Total intangible assets
$910,063 $(850,011)$60,052 $905,134 $(840,193)$64,941 
Intangible Liabilities
Customer contracts and relationships$(23,900)$23,900 $— $(23,900)$23,900 $— 

A summary of intangible assets and liabilities activity is as follows:
Three Months Ended March 31,
In thousands20232022
Intangible assets, gross beginning balance$905,134 $928,422 
Effect of change in exchange rates4,929 (5,578)
Intangible assets, gross ending balance$910,063 $922,844 
Intangible liabilities, gross beginning balance$(23,900)$(23,900)
Effect of change in exchange rates— — 
Intangible liabilities, gross ending balance$(23,900)$(23,900)

Assumed intangible liabilities reflect the present value of the projected cash outflows for an existing contract where remaining costs are expected to exceed projected revenues.
Estimated future annual amortization is as follows:
Year Ending December 31,Estimated Annual Amortization
In thousands
2023 (amount remaining at March 31, 2023)$13,955 
202415,080 
202514,342 
202610,329 
20275,630 
Thereafter716 
Total intangible assets subject to amortization$60,052