Kilogram to Carat Converter
Weight · unit-converter
Convert Kilogram to Carat with a fixed input and output unit, step-by-step formula line, and reference tables. All calculations use gram-based factors (international avoirdupois pound and metric definitions). The full Weight Converter also includes carat, grain, and US/UK hundredweight.
Calculator
From: Kilogram (kg)
To: Carat (ct)
About Kilogram
The kilogram is the SI base unit of mass (defined via fundamental constants). Everyday metric weights and science use kilograms and grams.
About Carat
The metric carat is exactly 0.2 grams (200 mg), commonly used for gemstones and jewelry.
How to convert kilograms to carats
1 kilogram is equal to 5000 carat:
1 kg = (1000 g ÷ 0.2 g) ct = 5000 ct
Each kilogram is defined as 1000 g and each carat as 0.2 g, so one kg equals 1000 ÷ 0.2 ct = 5000 ct.
Let w(kg) be the numeric value of the same mass measured in Kilogram (kg), and w(ct) the value in Carat (ct). Then:
w(ct) = w(kg) × (1000 / 0.2)
Equivalently, divide by how many kg fit into one ct (grams per ct divided by grams per kg):
w(ct) = w(kg) ÷ 0.0002
Or: carat = kilogram ÷ 0.0002
Examples
Example #1: Convert 20 kg to carat
20 kg = 20 kg × (1000/0.2) ct = 100000 ct
20 kg = 20 kg ÷ 0.0002 = 100000 ct
Example #2: Convert 50 kg to carat
50 kg = 50 kg × (1000/0.2) ct = 250000 ct
50 kg = 50 kg ÷ 0.0002 = 250000 ct
Summary
To convert Kilogram to Carat, multiply the value in kg by the ratio of grams per kg divided by grams per ct. Equivalently: value_ct = value_kg × (1000 / 0.2). Numerically, 1 kg equals 5000 ct.
Relationship context
Both units are metric (SI) and tied to the gram via the kilogram. Conversions use exact ratios from their gram definitions. The factor from Kilogram to Carat is 5.000000e+3 (1 kg = 5000 ct).
Conversion tables
| Kilogram (kg) | Carat (ct) |
|---|---|
| 0.1 | 500 |
| 1 | 5,000 |
| 2 | 10,000 |
| 3 | 15,000 |
| 4 | 20,000 |
| 5 | 25,000 |
| 6 | 30,000 |
| 7 | 35,000 |
| 8 | 40,000 |
| 9 | 45,000 |
| Kilogram (kg) | Carat (ct) |
|---|---|
| 10 | 50,000 |
| 20 | 100,000 |
| 30 | 150,000 |
| 40 | 200,000 |
| 50 | 250,000 |
| 60 | 300,000 |
| 70 | 350,000 |
| 80 | 400,000 |
| 90 | 450,000 |
| 100 | 500,000 |