# Percent calculation

## Contents

1 The concept of percentage

2 Calculate the percentage

3 Mathematical operations on percentages

4 Practical applications on the percentage

5 Various Examples of Calculating a Percentage

The concept of percentage

Percent can be defined as the percentage of which the number is a hundred the second part of which, and the word percentage in its origin goes back to the Latin word (Per Centum), which means per hundred, and is usually expressed mathematically as (%), It can also be expressed in other forms after converting to fractions or decimals.

For example, half can be written as a percentage (50%), or a decimal number (0.5), or a regular fraction (1/2), and other examples of percentages are: 100% = 100/100 = 1, 40% = 40/100 = 4/10 = 2/5 = 0.4.

The concept of percentage can be explained more simply by imagining dividing a large pizza into a hundred small portions, in which case each of these parts makes up 1% of the pizza, and a quarter of the pizza makes up 25% of it, while the whole pizza is expressed by By 100%,

Another realistic example is the expression of the number of rainy days out of the total number of total days during a given period in the form of a percentage;

For example, if the weather was rainy for a period of fourteen days during the past 100 days, then this can be expressed as a percentage in the form of 14/100 = 14%, and this means that 14 days were rainy out of 100 days during the previous period, Also, saying that the contents of this box are made up of 75% of apples, this means that apples make up 75 items out of every 100 items of its contents.

Calculate the percentage is defined as the process of assigning any number to a hundred, and any number can be converted into a percentage by following the following according to its state:

## Calculating the percentage for a specific system: How to calculate the percentage?

The percentage is a method by which a number can be expressed as a part or share of a group of numbers, and can be calculated using the general formula or the following law: percentage = (value / total value) × 100%, or percentage = (part / all) x 100%, Accordingly, the percentage of a system can be calculated by dividing the number of individuals or needs whose ratio is to be defined by the total number of the community or needs covered in this study, and multiplying the final result by the number 100;

For example, the percentage of individuals who own an office subscription card can be calculated if their number is 38 individuals within a given community, whose number is 230 individuals, by substituting the numbers in the previous equation, to result in 38/230 x 100% = 16.5%, which means that 16.5 individuals out of every 100 One of the individuals in that community owns an office card or 16.5% of that community own a desk card.

## Converting a normal fraction to a percentage:

Any ordinary fraction consists of a numerator and a denominator, where the numerator is represented by the number at the top, and the denominator is the number at the bottom, and when converting the fraction to a percentage, this means making the denominator equal to the number 100, and achieving this requires multiplying The number in the denominator with another appropriate number to make it equal to the number 100, and multiply the numerator by the same number as well; In order to keep the value of the fraction unchanged,

For example, the fraction 4/25 can be converted to a percentage by multiplying both the numerator and the article by the number 4, to result in 4/25 = 16/100 = 16%, and in return, the percentage can be simply converted To an ordinary fraction by placing the percentage value on the denominator of the number 100, then simplifying the fraction into the simplest possible form,

For example, converting 50% into a regular fraction requires writing the number 50% as 50/100, then simplifying the fraction as follows: 50 / 100 = 5/10 = 1/2.

## Converting a decimal number to a percentage:

This process is the simplest compared to the previous one, as converting the decimal number to a percentage requires multiplying this number only by the number 100 and adding the% sign to the result,

For example, 0.8 can be converted to a percentage by multiplying the number 100 To result in 0.8 x 100 = 80%, 1.34 x 100 = 134%, and in contrast, the percentage can be converted to a decimal by reversing the previous operation by dividing the percentage by the number 100, so converting 56% to a decimal can be done simply by The method of dividing 56 by 100 results in 56/100 = 0.56 = 56%.

## Math operations on percentages (How to calculate the percentage?)

Among the simplest math operations on percentages are the following:

Adding and subtracting percentages: adding or subtracting percentages requires converting them first to decimals, or fractions; For example, adding 37% and 42% requires converting them into decimal numbers first, then adding these numbers as follows: 0.37 + 0.24 = 0.79 = 79%.

Multiplying and dividing percentages: Multiplying or dividing percentages requires writing them first in the form of decimals or regular fractions, for example, multiplying the following ratios: 10%, 20%, 30% by each other requires converting them first into ordinary fractions, then multiplying them as usual, as follows: 10 /100xx20/100xx30/100=6/1000=0.6%

## Percentage practical applications

The percentage can be used in many areas such as calculating the amount of discount on a commodity in a store or calculating the value of bank interest, and in various statistics, as it is possible to know the percentage of voters in the elections, describe the profit rates for different companies and shops, and calculate the commission value for each An employee, according to the percentage of his sales, and many posters on clothes describe the number of materials used in their manufacture in the form of percentages, and in many other fields.

## Various samples of share calculation

Example 1: Convert the subsequent variety to a percentage:

Solution: Convert this variable to a share by multiplying each the dividend and also the article by the amount twenty to convert the divisor one hundred. To result in: (4/5) * (20/20) = 80/100 = eightieth.

The second example: the amount of feminine students in a very category is seventy-five students. Calculate the share of females during this category whose total variety of scholars is a hundred and fifty.

Solution: share of females in school = 75/150 x 100% = five hundredth.

The third example: what’s the amount that represents one hundred and fiftieth of the amount fifty.

Solution: one hundred and fiftieth {of fifty|of fifty} = 150/100 x 50 = seventy five.

The fourth example: the amount of scholars in a very faculty is 2384 students, of whom seventy-fifth applied to require one in every one of the exams, and twenty-fifth of them couldn’t pass it. Calculate the number of scholars WHO succeeded during this communication.

The solution: the amount of scholars WHO took the communication = 75/100 x 2384 = 1788 students, the share of winning students = 100% — the share of unsuccessful students = 100% -25% = seventy fifth, and consequently the amount of scholars WHO passed = 75/100 x one788 = 1,341 students.

Fifth example: A family, ate food in a very building and paid \$ thirty for that, additionally to the nine.5% excise and 100% service allowance within the building. Calculate the entire quantity the family paid.

Solution: To calculate the entire quantity, you need to 1st calculate the amounts that were paid as service allowance and excise, that is adequate = 10/100 x thirty = three greenbacks, 9.5 / one hundred x thirty = two.85 dollars, then calculate the entire quantity, that is adequate three + two.85 + thirty = \$ thirty-five. 85

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