How to calculate percentage

The Percentage is a mathematical concept that is used to express a portion of a whole as a fraction of 100. It is a convenient and widely-used method for expressing ratios, proportions, and changes. In this article, we will explain how to calculate percentages in a step-by-step manner, and provide examples to illustrate the process.

Step 1: Define the whole The first step in calculating the percentage is to define the whole, which is the total amount or quantity that you are working with. For example, if you want to find out what percentage of a class of 30 students passed an exam, the whole would be 30 students.

Step 2: Identify the part The next step is to identify the part, which is the portion of the whole that you want to express as a percentage. In the example of the class of 30 students, the part would be the number of students who passed the exam.

Step 3: Divide the part by the whole Once you have defined the whole and identified the part, divide the part by the whole and multiply the result by 100 to express it as a percentage. For example, if 20 students passed the exam, you would divide 20 by 30 and multiply by 100 to get the percentage of students who passed:

(20/30) x 100 = 66.67%

Step 4: Interpret the result The result of the calculation, 66.67%, tells us that 66.67% of the class of 30 students passed the exam. This means that 20 students out of 30 passed the exam or 2/3 of the class.

Example: Let's take another example to illustrate the process of calculating percentages. Suppose you have a pizza that is cut into 8 slices, and you have eaten 3 slices. To find out what percentage of the pizza you have eaten, you would perform the following calculation:

(3/8) x 100 = 37.5%

The result, 37.5%, tells us that 37.5% of the pizza has been eaten.

The percentage can also be used to express changes or differences. For example, suppose you have a sales target of $10,000, and you have sold $12,000. To find out what percentage increase you have achieved, you would perform the following calculation:

($12,000 - $10,000) / $10,000 x 100 = 20%

The result, 20%, tells us that you have achieved a 20% increase in sales compared to your target.

In conclusion, calculating the percentage is a simple process that involves defining the whole, identifying the part, dividing the part by the whole, and multiplying by 100. A percentage is a useful tool for expressing ratios, proportions, and changes, and it is widely used in various fields, including finance, business, and education.