What is your percentage in 12th grade

Percentage calculation

The percentage calculation is dealt with here. Let's look at this:

  • A Explanationwhat to do with the percentage calculation and what is important.
  • Lots Examples to calculate base value, percentage value and percentage.
  • Tasks / exercises to practice the percentage calculation yourself.
  • Several Videos to the area of ​​the percentage calculation.
  • A Question and answer area to calculate percentages.

Note: We are looking at the topic of percentage calculation relatively extensively here. If, on the other hand, you are only looking for the formulas and how you can insert something into them, you will also find this shortened under percentage calculation formulas.

Percentage calculation explanation

What is the percentage calculation anyway? Let's start with a definition:

Note:

The percentage calculation helps to show the proportions of something as a whole. A percent - 1% for short - is nothing more than 1: 100. You can therefore also express a percent with a fraction with a 1 in the numerator and 100 in the denominator. Percentage calculation is a branch of mathematics.

Example percent:

Suppose we have 100 apples. Then 1% of these apples are only 1 apple, i.e. 1 in 100. If, on the other hand, we want 12%, then this is 12 out of 100 apples. Mathematically this is written like this:

Important terms of the percentage calculation:

In order to be able to calculate with percentages, one should first know and understand the most important terms of the percentage calculation. These are:

  • Core value: Under the basic value one understands "the whole" to which the percentages refer, for example all persons, the whole money or the complete contents of a bottle. In most cases, everything is 100 percent. In formulas, the basic value is abbreviated with a G or GW.
  • Percentage: The percentage is understood to be a part of something as a whole. One also speaks of the number or the absolute frequency. If there are 100 people in a room, 60 of whom are male, then 100 is the base value and 60 is the percentage. The percentage value for W or PW is used in formulas.
  • percentage: The percentage p% indicates a share in a basic value. A 40% discount on a product for 100 euros means that this product is 40 euros cheaper. In this case the base value would be G = 100 euros and the percentage p% = 40%. In formulas, the percentage is p%.
  • Percentage: In some formulas the percentage p% is not used, but only the percentage p, i.e. without the percentage sign.

The next equation shows the relationship between percentage p and percentage p%. We'll deal with this in the formulas below.

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Examples of percentage calculation: base value, percentage value and percentage

We just had the most important terms of the percentage calculation. Now it is important to be able to use this in practice. To do this, we look at the formula or formulas of the percentage calculation and rearrange them according to the respective variables (letters).

Basic value of the percentage calculation:

Let's start with the basic value of the percentage calculation. This means the whole, to which the share and the percentage refer. The formula to calculate the basic value is:

We get the base value G by dividing the percentage value W by the percentage p%. Alternatively, we can multiply the percentage value W by 100 and divide it by the percentage number p.

Example 1 on the basic value:

Anna spent 12 euros of her pocket money this month. That is 30 percent of their pocket money. How much money does she get every month?

Solution:

We are looking for "the whole", ie the basic value G. We know that a part of W = 12 euros is given. That's 30 percent, so p = 30. We plug this into the equation above and do the numbers. The currency (euro) must not be forgotten.

Anna receives 40 euros pocket money a month.

You can find more examples for calculating the percentage value under Calculate percentage value.

Percentage of the percentage calculation:

The percentage value W indicates the proportion of something whole. The formula or formulas to calculate the percentage are:

We get the percentage W by multiplying the percentage by the base value and dividing by 100. Alternatively, we can calculate the percentage value W by multiplying the percentage by the base value.

Example 2 on the percentage:

A bike normally costs 500 euros. However, the dealer is currently offering it at a discount of 15 percent. How many euros is the discount?

solution:

The bike usually costs 500 euros, which is the total price. This is the basic value, so G = 500 euros. The price reduction is 15 percent, therefore p% = 15% or p = 15. We put this information into one of the two equations.

The bike is available at a discount of 75 euros.

Note on the exercise: In this exercise we used the formula with p and not with p%. The background is very simple. If we were to use the formula with p%, we would have to use 15% and 15% is nothing other than 15: 100. We would then carry out exactly the same calculation steps. So why not use the direct formula right away?

You can find more examples for calculating the percentage value under Calculate percentage value.

Percentage formulas:

We're still missing the percentage and percentage. The percentage p% indicates a share in a basic value. The percentage p is given without a percentage sign. The formulas look like this:

The percentage can be calculated by dividing the percentage by the base value. Alternatively, you can calculate the percentage by multiplying the percentage by 100 and dividing by the base value.

Example 3 for percentage / percentage:

Clara currently weighs 88 kilos. Her doctor recommends that she lose at least 7 pounds. What percentage is this?

Solution:

Clara has to lose almost 8 percent.

You can find more examples and tasks on the percentage or the percentage under Calculate Percentage / Percentage.

Tasks / exercises Percentage calculation

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Video percentage calculation

Percentage calculation formulas and tasks

This video introduces the basics of percentage calculation. For this purpose, several examples / tasks are calculated and you get to know the corresponding formula / formulas.

First example: We have a school with 1,025 students, 578 of whom are girls. How many percent are this? In this context it is explained what the basic value G is and the percentage value W. We are looking for the percentage. The conversion of the point number to percentage / percentage is also shown.

Another example: Given 1025 students. 64 percent are from the location, the rest from other locations. How many students are there? Here, too, the percentage value W is sought. Afterwards, new students come to the school and it should be calculated how many students are now going to the corresponding school. At the end, a small donkey bridge / memory aid is presented. This video is from Youtube.com.

Questions and answers about the percentage calculation

In this section we look at typical questions with answers about the percentage calculation.

Q: Is it possible to solve percentage calculation problems in other ways?

A: Some percentages can also be solved using the rule of three. For example, one asks oneself what 100 percent of the information is. Divide by 100 to get 1 percent and then multiply by the percentage you are looking for. Examples and explanations of the rule of three instead of percentage calculation can be found under percentage calculation rule of three.

Q: Where can I find more about percentages and money?

A: The percentage calculation can also be used when calculating with VAT. The calculation between gross and net is often dealt with. You can find out how to do this under Percentage calculation of VAT gross net. A price reduction (discount) on goods and services can also be treated with the percentage calculation. You can find explanations and tasks on this topic under Calculate Discount.

Q: What topics should I look at next?

A: The percentage calculation topic is very extensive. Hopefully this article has already given you some basic insight into this. The topics presented here and a few more related to the percentage calculation can be found in the next list: