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Other Intangible Assets (Tables)
 12 Months Ended
Dec. 31, 2020
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Other Intangible Assets
The following is a summary of Linde’s other intangible assets at December 31, 2020 and 2019:  
(Millions of dollars) For the year ended December 31, 2020Customer RelationshipsBrands/TradenamesOther Intangible AssetsTotal
Cost:
Balance, December 31, 2019$13,205 $2,764 $1,612 $17,581 
Additions 5 — 56 61 
Foreign currency translation632 134 47 813 
Disposals(2)— (20)(22)
Other *(64)(3)2 (65)
Balance, December 31, 202013,776 2,895 1,697 18,368 
Less: accumulated amortization:
Balance, December 31, 2019(885)(69)(490)(1,444)
Amortization expense (Note 7)(589)(45)(131)(765)
Foreign currency translation(53)(3)1 (55)
Disposals1 — 20 21 
Other *56 (1)4 59 
Balance, December 31, 2020(1,470)(118)(596)(2,184)
Net intangible asset balance at December 31, 2020$12,306 $2,777 $1,101 $16,184 
(Millions of dollars) For the year ended December 31, 2019Customer RelationshipsBrands/TradenamesOther Intangible AssetsTotal
Cost:
Balance, December 31, 2018$13,288 $2,288 $1,366 $16,942 
Additions 30 6 51 87 
Foreign currency translation(59)(21)(11)(91)
Measurement period adjustments(8)492 178 662 
Other *(46)(1)28 (19)
Balance, December 31, 201913,205 2,764 1,612 17,581 
Less: accumulated amortization:
Balance, December 31, 2018(317)(22)(380)(719)
Amortization expense (Note 7)(584)(47)(104)(735)
Foreign currency translation— — 2 2 
Other *16 — (8)8 
Balance, December 31, 2019(885)(69)(490)(1,444)
Net balance at December 31, 2019$12,320 $2,695 $1,122 $16,137 

*Other primarily relates to the write-off of fully amortized assets and reclassifications.
Schedule of Estimated Future Amortization Expense
Total estimated annual amortization expense related to finite-lived intangibles is as follows: 
(Millions of dollars) 
2021$729 
2022608 
2023581 
2024572 
2025529 
Thereafter11,173 
Total amortization related to finite-lived intangible assets14,192 
Indefinite-lived intangible assets at December 31, 20201,992 
Net intangible assets at December 31, 2020$16,184