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Goodwill and Acquired Intangibles (Tables)
 9 Months Ended
Oct. 02, 2021
Goodwill and Intangible Assets Disclosure [Abstract]  
Changes in the carrying amount of goodwill
The changes in the carrying amount of goodwill during the nine months ended October 2, 2021 were as follows:
 Gross Carrying
Amount
 (In thousands)
Balance as of January 2, 2021$782,087 
Goodwill resulting from acquisitions150,021 
Measurement period adjustments(633)
Effect of foreign currency translation(5,526)
Balance as of October 2, 2021$925,949 
Schedule of acquired intangibles with finite and indefinite lives (excluding goodwill)
Acquired intangibles as of October 2, 2021 were as follows, excluding intangibles that were fully amortized as of January 2, 2021:
Gross Carrying
Amount		Accumulated
Amortization		Acquired
Intangibles, Net
 (In thousands)
Existing technology$402,640 $(242,829)$159,811 
Agreements and relationships205,454 (125,436)80,018 
Tradenames, trademarks and patents10,741 (2,942)7,799 
Total acquired intangibles with definite lives$618,835 $(371,207)$247,628 
Acquired intangibles as of January 2, 2021 were as follows, excluding intangibles that were fully amortized as of December 28, 2019:
Gross Carrying
Amount		Accumulated
Amortization		Acquired
Intangibles, Net
 (In thousands)
Existing technology$370,838 $(230,654)$140,184 
Agreements and relationships180,023 (113,629)66,394 
Tradenames, trademarks and patents10,590 (6,578)4,012 
Total acquired intangibles with definite lives$561,451 $(350,861)$210,590 
Amortization of acquired intangibles Amortization expense for the three and nine months ended October 2, 2021 and September 26, 2020 by condensed consolidated income statement caption was as follows:
 Three Months Ended Nine Months Ended
 October 2,
2021		September 26,
2020		October 2,
2021		September 26,
2020
 (In thousands)
Cost of product and maintenance$11,774 $11,447 $35,774 $33,791 
Amortization of acquired intangibles5,000 4,438 14,661 13,234 
Total amortization of acquired intangibles$16,774 $15,885 $50,435 $47,025 
Estimated amortization expense
As of October 2, 2021, the estimated amortization expense for acquired intangible assets with definite lives was as follows for the following five fiscal years and thereafter:
 (In thousands)
2021 - remaining period$16,724 
202250,022 
202334,492 
202432,732 
202522,092 
202617,087 
Thereafter74,479 
Total estimated amortization expense$247,628