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


	Gross Carrying Amount
	(In thousands)
Balance as of December 31, 2025	$	2,749,143
Goodwill resulting from acquisitions	2,219,277

Effect of foreign currency translation	(41,465)
Balance as of September 30, 2026	$	4,926,955


	Gross Carrying Amount		Accumulated Amortization		Acquired Intangibles, Net
	(In thousands)
Existing technology	$	1,231,440	$	(283,816)	$	947,624
Agreements and relationships	993,315		(190,606)		802,709
Tradenames, trademarks and patents	56,844		(15,171)		41,673


Total acquired intangibles	$	2,281,599	$	(489,593)	$	1,792,006


	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 nine months ended September 30, 2026 and September 30, 2025 by condensed consolidated income statement caption was as follows:


	Three Months Ended				Nine Months Ended
	September 30, 2026		September 30, 2025		September 30, 2026		September 30, 2025
	(In thousands)
Cost of product and maintenance	$	46,091	$	15,751	$	122,437	$	46,744
Amortization of acquired intangibles	33,779		10,233		88,304		28,359
Total amortization of acquired intangibles	$	79,870	$	25,984	$	210,741	$	75,103

As of September 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	$	78,406
2027	294,327
2028	286,974
2029	261,410
2030	216,778
2031	194,034
Thereafter	460,077
Total estimated amortization expense	$	1,792,006