Enter either the karat value or the percentage into the calculator to determine the missing variable.
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Karat to Percentage Formula
The following formula is used to convert karat to percentage.
P = (K / 24) * 100
Variables:
- P is the percentage of gold purity
- K is the karat value of the gold
To calculate the percentage of gold purity, divide the karat value by 24 and then multiply by 100.
| Karat (K) | Gold Purity (%) |
|---|---|
| 1K | 4.17% |
| 2K | 8.33% |
| 3K | 12.50% |
| 4K | 16.67% |
| 5K | 20.83% |
| 6K | 25.00% |
| 8K | 33.33% |
| 9K | 37.50% |
| 10K | 41.67% |
| 12K | 50.00% |
| 13K | 54.17% |
| 14K | 58.33% |
| 15K | 62.50% |
| 16K | 66.67% |
| 18K | 75.00% |
| 20K | 83.33% |
| 21K | 87.50% |
| 22K | 91.67% |
| 23K | 95.83% |
| 24K | 100.00% |
| Formula: Percentage = (Karat / 24) × 100. 24K = 100% pure gold; 1K ≈ 4.1667%. | |
What is Karat?
Karat is a unit of measurement used to describe the purity of gold alloys. Pure gold is defined as 24 karats, meaning it is 100% gold. When gold is mixed with other metals to create an alloy, the karat value decreases. For example, 18-karat gold is 75% gold and 25% other metals. The higher the karat value, the greater the proportion of gold in the alloy.
How to Calculate Karat to Percentage?
The following steps outline how to calculate the percentage of gold purity from the karat value.
- First, determine the karat value of the gold (K).
- Next, use the formula P = (K / 24) * 100 to calculate the percentage of gold purity.
- Finally, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Karat value of the gold (K) = 18
Percentage of gold purity (P) = (18 / 24) * 100 = 75%