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Supplemental Information
9 Months Ended
Sep. 30, 2021
Supplemental Information [Abstract]  
Supplemental Information Supplemental Information
Receivables
Linde applies loss rates that are lifetime expected credit losses at initial recognition of the receivables. These expected loss rates are based on an analysis of the actual historical default rates for each business, taking regional circumstances into account. If necessary, these historical default rates are adjusted to reflect the impact of current changes in the macroeconomic environment using forward-looking information. The loss rates are also evaluated based on the expectations of the responsible management team regarding the collectability of the receivables. Gross trade receivables aged less than one year were $4,358 million and $4,169 million at September 30, 2021 and December 31, 2020 respectively and gross receivables aged greater than one year were $308 million and $358 million at September 30, 2021 and December 31, 2020, respectively. Other receivables were $124 million and $111 million at September 30, 2021 and December 31, 2020, respectively. Receivables aged greater than one year are generally fully reserved unless specific circumstances warrant exceptions, such as those backed by federal governments.
Accounts receivable net of reserves were $4,367 million at September 30, 2021 and $4,167 million at December 31, 2020. Allowances for expected credit losses were $423 million at September 30, 2021 and $471 million at December 31, 2020.  Provisions for expected credit losses were $101 million and $136 million for the nine months ended September 30, 2021 and 2020, respectively. The allowance activity in the nine months ended September 30, 2021 and 2020 related to write-offs of uncollectible amounts, net of recoveries and currency movements is not material.

Inventories
The following is a summary of Linde's consolidated inventories:
(Millions of dollars)September 30,
2021
December 31,
2020
Inventories
Raw materials and supplies$391 $411 
Work in process 357 337 
Finished goods946 981 
Total inventories$1,694 $1,729