The changes in the carrying amount of goodwill during the six months ended June 30, 2026 were as follows:


	Gross Carrying Amount
	(In thousands)
Balance as of December 31, 2025	$	2,749,143
Goodwill resulting from acquisitions	2,198,007

Effect of foreign currency translation	(32,362)
Balance as of June 30, 2026	$	4,914,788


	Gross Carrying Amount		Accumulated Amortization		Acquired Intangibles, Net
	(In thousands)
Existing technology	$	1,233,132	$	(237,583)	$	995,549
Agreements and relationships	995,221		(160,221)		835,000
Tradenames, trademarks and patents	57,008		(13,102)		43,906


Total acquired intangibles	$	2,285,361	$	(410,906)	$	1,874,455


	Gross Carrying Amount		Accumulated Amortization		Acquired Intangibles, Net
	(In thousands)
Existing technology	$	590,211	$	(256,589)	$	333,622
Agreements and relationships	470,334		(114,697)		355,637
Tradenames, trademarks and patents	40,984		(12,020)		28,964


Total acquired intangibles	$	1,101,529	$	(383,306)	$	718,223

Amortization expense from existing technology is included in cost of product and maintenance. Amortization expense for the three and six months ended June 30, 2026 and June 30, 2025 by condensed consolidated income statement caption was as follows:


	Three Months Ended				Six Months Ended
	June 30, 2026		June 30, 2025		June 30, 2026		June 30, 2025
	(In thousands)
Cost of product and maintenance	$	45,607	$	14,499	$	76,346	$	30,993
Amortization of acquired intangibles	34,315		9,204		54,525		18,126
Total amortization of acquired intangibles	$	79,922	$	23,703	$	130,871	$	49,119

As of June 30, 2026, the estimated amortization expense for intangible assets with definite lives was as follows for the following five fiscal years and thereafter:


	(In thousands)
2026 - remaining period	$	158,144
2027	294,805
2028	287,452
2029	261,824
2030	217,050
2031	194,213
Thereafter	460,967
Total estimated amortization expense	$	1,874,455