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Software and Other Intangible Assets
 6 Months Ended
Jun. 30, 2020
Goodwill and Intangible Assets Disclosure [Abstract]  
Software and Other Intangible Assets Software and Other Intangible Assets
The carrying amount and accumulated amortization of the Company's software assets subject to amortization at each balance sheet date are as follows (in thousands):
June 30, 2020December 31, 2019
Gross Carrying AmountAccumulated AmortizationNet BalanceGross Carrying AmountAccumulated AmortizationNet Balance
Software for resale$136,618  $(124,271) $12,347  $138,823  $(122,061) $16,762  
Software for internal use415,690  (211,750) 203,940  400,065  (182,310) 217,755  
Total software$552,308  $(336,021) $216,287  $538,888  $(304,371) $234,517  

Amortization of software for resale is computed using the greater of (a) the ratio of current gross revenues to the total of current and future gross revenues expected to be derived from the software or (b) the straight-line method over the remaining estimated useful life of generally five to ten years. Software for resale amortization expense recorded during the three months ended June 30, 2020 and 2019, totaled $2.1 million and $3.0 million, respectively. Software for resale amortization expense recorded during the six months ended June 30, 2020 and 2019, totaled $4.0 million and $6.0 million, respectively. These software amortization expense amounts are reflected in cost of revenue in the condensed consolidated statements of operations.

Amortization of software for internal use is computed using the straight-line method over an estimated useful life of generally one to ten years. Software for internal use amortization expense recorded during the three months ended June 30, 2020 and 2019, totaled $18.5 million and $13.3 million, respectively. Software for internal use amortization expense recorded during the six months ended June 30, 2020 and 2019, totaled $35.2 million and $23.7 million, respectively. These software amortization expense amounts are reflected in depreciation and amortization in the condensed consolidated statements of operations.

The carrying amount and accumulated amortization of the Company’s other intangible assets subject to amortization at each balance sheet date are as follows (in thousands):
June 30, 2020December 31, 2019
Gross Carrying AmountAccumulated AmortizationNet BalanceGross Carrying AmountAccumulated AmortizationNet Balance
Customer relationships$502,748  $(175,681) $327,067  $507,785  $(160,775) $347,010  
Trademarks and trade names27,142  (18,512) 8,630  27,312  (17,353) 9,959  
Total other intangible assets$529,890  $(194,193) $335,697  $535,097  $(178,128) $356,969  

Other intangible assets amortization expense recorded during the three months ended June 30, 2020 and 2019, totaled $9.2 million and $7.6 million, respectively. Other intangible assets amortization expense recorded during the six months ended June 30, 2020 and 2019, totaled $18.5 million and $13.1 million, respectively.
Based on capitalized intangible assets as of June 30, 2020, estimated amortization expense amounts in future fiscal years are as follows (in thousands):
Fiscal Year Ending December 31,Software AmortizationOther Intangible Assets Amortization
Remainder of 2020$37,072  $18,346  
202161,612  36,379  
202243,302  36,234  
202327,501  35,932  
202420,551  31,520  
Thereafter26,249  177,286  
Total$216,287  $335,697