The various calculations can become a real headache, such as how to calculate the debt ratio or how to determine a family quotient. The same applies if, after devoting hours to an assignment, you come up with an enigmatic result, such as a 16 out of 25. You might find yourself puzzled, looking for a way to convert this number into a **familiar note**.

How about a quick, simple and mathematically rigorous approach to the task? We've got some practical tips for you. You should know that the ability to convert, adjust and harmonize one score with another is the key to success. **rating scale** is a skill that every student, teacher and even adult would benefit from mastering.

And don't worry, you don't need to be a math specialist to understand the ins and outs. With the proper use of online conversion tools and a few concrete examples, transforming any number, be it 5, 10, 25, 30 or even a percentage, becomes a simplified exercise.

So, how do you make the transition from one grade to another out of 20? Read on, because the knowledge you'll gain in the next few lines could make your average calculations a whole lot easier.

## How to convert any score out of 20

Here's how it works **4 basic conversion formulas** to mark out of 20 :

### Turning a rating of 5 into a score out of 20

The method for establishing a score out of 20 begins by determining the **conversion coefficient**found by dividing the highest number by the lowest, i.e. 20 by 5, giving a coefficient of 4.

So, to convert a rating of 15 out of 20 into a rating out of 5, simply divide 15 by 4, which gives 3.75.

Conversely, to transpose a score of 3 out of 5 into a score out of 20, multiply 3 by 4, resulting in 12.

### Adapting a score out of 10 to obtain an evaluation out of 20

Applying the same logic as above, the calculation leads to a division coefficient of 2, i.e. 20/10.

If you convert a rating of 15 out of 20 into a score out of 10, you'll get 7.5 out of 10, knowing that 15/2 = 7.5.

To transpose an assessment of 5 out of 10 into a mark out of 20, the answer is 10 out of 20, since 10 is the result of 5 x 2.

**Here's a video that shows you how to convert a score out of 20 : **

### Extending an assessment from 20 to 30 and vice versa

In this scenario, the application of **proportionality rule** (or cross product) is relevant. The idea is to find the value n that represents the score out of 30.

Taking the example of a 10 out of 20 rating to be converted into a 30 out of 30 rating, the method is as follows:

From 10 → to 20; From n → to 30; let's calculate n = 10 x 30 / 20, resulting in a score of 15. Thus, a score of 10 out of 20 is equivalent to 15 out of 30.

This same formula is reversible to establish a score out of 20.

For a rating of 15 out of 30, the calculation is as follows:

From 15 → to 30; From n → to 20. The value is only obtained by n = 15 x 20 / 30, giving a score of 10.

### Turning a rating of 20 into a mark out of 40 and vice versa

To transform a 20-point evaluation into a 40-point scale, the principle of the **conversion coefficient** (40/20 = 2) is applied. So, to go from a mark out of 20 to a mark out of 40, simply use the multiplier by 2.

For example, a score of 15 out of 20 becomes 30 out of 40.

On the other hand, to convert a mark out of 40 into a mark out of 20, it will be necessary to divide the mark by the same coefficient.

Consequently, a score of 20 out of 40 will result in a score of 10 out of 20.

Now you have the key points to maintain in order to convert a score out of 20. Just apply these rules and you're done.

## Why is the sur 20 system so common in France?

The 20-point grading system is widely used in France for its simplicity and clarity. It enables **evaluation** **explains** of student performance while providing an easily understandable scale. What's more, this system traditionally aligns grades with percentage calculationThis simplifies comparisons and average calculations. Finally, its long-standing use in schools and universities has created a familiar standard for students, teachers and parents alike.

A simple rule of three will give you a score out of 20. Are there any other calculations you're having trouble with? Don't hesitate to add them in the comments.