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Goodwill, Finite-Lived, and Indefinite-Lived Intangibles (Tables)
 9 Months Ended
Sep. 30, 2023
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Goodwill Changes in the carrying amount of goodwill for the nine months ended September 30, 2023 and the year ended December 31, 2022 are reflected in the following table:
September 30, 2023December 31, 2022
(Unaudited)
 (In thousands)
Beginning Balance$881,676 $939,249 
Additions— — 
Purchase accounting adjustments— — 
Foreign currency translation adjustments$(2,422)(57,573)
Ending Balance$879,254 $881,676 
Schedule of Finite-Lived Intangible Assets The carrying value of finite-lived and indefinite-lived intangible assets at September 30, 2023 and December 31, 2022 are as follows:
September 30,
2023		December 31,
2022
(Unaudited)
 (In thousands)
Finite-lived intangible assets:  
Customer relationships$100,877 $101,401 
Developed technology36,835 34,427 
Dealer network5,987 5,877 
Airport contracts3,968 3,992 
Trademarks2,653 2,651 
Store networks2,140 2,153 
Brand786 791 
Non-compete agreements701 702 
Database212 212 
Backlog140 140 
Total intangibles154,299 152,346 
Accumulated amortization(109,214)(101,446)
Finite-lived intangibles, net$45,085 $50,900 
Indefinite-lived intangibles:. 
Customer/territorial relationships16,647 16,647 
Schedule of Indefinite-Lived Intangible Assets The carrying value of finite-lived and indefinite-lived intangible assets at September 30, 2023 and December 31, 2022 are as follows:
September 30,
2023		December 31,
2022
(Unaudited)
 (In thousands)
Finite-lived intangible assets:  
Customer relationships$100,877 $101,401 
Developed technology36,835 34,427 
Dealer network5,987 5,877 
Airport contracts3,968 3,992 
Trademarks2,653 2,651 
Store networks2,140 2,153 
Brand786 791 
Non-compete agreements701 702 
Database212 212 
Backlog140 140 
Total intangibles154,299 152,346 
Accumulated amortization(109,214)(101,446)
Finite-lived intangibles, net$45,085 $50,900 
Indefinite-lived intangibles:. 
Customer/territorial relationships16,647 16,647