# Gold Carat Calculation Formula

**The Gold Carat Calculation Formula is very straightforward & easy. Just divide the karat number of your gold item by 24 (max karat number) and multiply the outcome by 100. The percentage result will be the content of pure gold in the jewelry. For Example, 14K / 24K = 0.583 x 100 = 58.3% gold. **

There are different types of gold carat calculation formulas. Each one is effective, simple, and based on different scenarios. Jewelers and buyers around the globe use it to simplify their gold weight conversions based on current gold price (QAR, USD, INR, etc) dealings.

Lets understand each gold karat formula in detail with illustrations.

## Gold Carat Calculation Formula By Karatage Method

When you know the gold carat value.

Just divide the carat number of your gold item by 24 Carat and then multiplying it by 100.

For example, you know you are holding a 9 carat jewellery. Just divide 9 by 24 (9/24) = 0.375 and multiply the answer by 100 i.e. (0.375 x 100) = 37.5% pure gold. This method of calculation is called as the Karatage System or the Caratage System.

## Gold Carat Calculation By Millesimal Fineness Method

When you know the gold hallmarked 3 digit numbers.

Simply divide the gold hallmark numbers by 1000 and multiply it by 24 Carat.

For instance, you have a 417 marked gold jewelry. Just divide 417 by 1000 (417/1000) = 0.417 and multiply the answer by 24 i.e. (0.417 x 24) = 10 carat gold item. This method of calculation is known as the Millesimal Fineness System.** **

## Formula To Convert 10 gm 24 Carat Into 22 Carat Gold

You can use the following formula to convert 10 gram 24K (or carat) into 22K (or carat) gold:

**22K gold weight = (10 gram x 24K) / 22K**

22K weight = (10 x 24) / 22

22K weight = 240 / 22

**22K weight = 10.91 grams**

22K gold has 91.67% pure gold and the remaining 8.33% other metals. Hence, 10.91 grams 22K gold include 10 grams pure gold and 0.91 grams other metals.

You must have observed that the outcome of conversion from 24K to 22K has resulted (i.e. 10.91 grams) in weight gain, it is due to the addition of other metals in it. The quantity of pure gold in 22K gold is less but the weight of the total material has increased as it is now holding extra metals.

## Formula To Convert 10 gm 24 Carat Into 18 Carat Gold

You can use the following formula to convert 10 gram 24K (or carat) into 18K (or carat) gold:

**18K gold weight = (10 gram x 24K) / 18K**

18K weight = (10 x 24) / 18

18K weight = 240 / 18

**18K weight = 13.33 grams**.

18K gold has 75.0% pure gold and the remaining 25.0% other metals. Hence, 13.33 grams 18K gold include 10 grams pure gold and 3.33 grams other metals.

## Formula To Convert 10 gm 18 Carat Into 14 Carat Gold

The procedure is simple just multiply the karat weight you have by the karat gold you want.

You can use the following formula to convert 10 gram 18K (or carat) into 14K (or carat) gold:

**14K gold weight = (10 gram x 18K) / 14K**

14K weight = (10 x 18) / 14

14K weight = 180 / 14

**14K weight = 12.86 grams**.

14K gold has 58.33% pure gold and the remaining 41.67% other metals. Hence 12.46 grams 14K gold include 7.502 grams pure gold and 5.359 grams other metals.

## Formula To Convert 10 gm 14 Carat Into 24 Carat Gold

The procedure is uniform just multiply the karat weight you have in your hands by the karat gold you want.

You can use the following formula to convert 10 gram 14K (or carat) into 24K (or carat) gold:

**24K gold weight = (10 gram x 14K) / 24K**

24K weight = (10 x 14) / 24

24K weight = 140 / 24

**24K weight = 5.83 grams**.

24K gold has 99.9% pure gold and the remaining 0.1% other metals. Hence 5.83 grams of 24K gold include 5.83 grams of pure gold and 0.1 grams (i.e. 0 grams) of other metals. The extra amount (quantity in grams) of other metals has been taken away to make 24K gold.

In this scenario, you must have observed that the outcome of conversion from 14K to 24K has resulted (i.e. 5.83 grams) in weight loss, it is due to the deduction of other metals from it. The quantity of pure gold in 24K gold is more hence the weight of the total material has decreased as it is now holding fewer other metals.