Intangible assets, net (Narrative) (Details) - USD ($) $ in Thousands	12 Months Ended
Dec. 31, 2024	Dec. 31, 2023	Dec. 31, 2022
Amortization expense	$ 65,517	$ 73,383	$ 65,204
Finite-Lived Intangible Assets
Amortization expense	$ 57,120	$ 64,910	$ 56,151

The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
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Reference 2: http://www.xbrl.org/2003/role/exampleRef
-Topic 350
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Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 350
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Reference 4: http://www.xbrl.org/2003/role/disclosureRef
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