A particular part of the amount with respect to a hundred or the fractions whose denominator is 100 can be defined as percentages. This term has been derived from the Latin words ‘per centum’ which signifies by the hundred. It is expressed or represented with the help of the symbol, ％. The percentage of a given data can be calculated in various ways. Some common methods are as follows: by the help of the unitary method, by changing the denominator into hundred. The mathematical formula given is: given value / total value multiplied by 100. In this article, we may try to cover some basic aspects regarding percentages such as: what is percentage increase and decrease, some examples based on the percentage formula and do detailed analysis about these topics.
What Do You Mean by Percentage Increase and Percent Decrease?
The percentage increase can be defined as the increase in the percentage of data over a period of time. For example, growth in the population, increase in the number of bacterias in a given surface, etc. Similarly, the percentage decrease can be defined as the decrease in the percentage of data over a period of time. Some examples of percentage decrease are as follows: decrease in criminal activities, decrease in the number of deaths with respect to age.
Some Examples Based on the Percentage Formula
As mentioned above, the formula to find the percentage of a given data is: given value / total value multiplied by 100. In order to do well in any examination, you need to solve more and more questions about that particular topic. Some of the examples are listed below:
Example 1: Let the number of boys in class be 60 and the number of girls is 40, find the percentage of the boys and girls in the class.
Solution: Given that,
Number of boys in the class = 60
Number of Girls in the class = 40
Total number of the students = number of boys + number of girls
Hence, Number of boys + Number of Girls = 60 + 40 = 100.
Now, the percentage of boys in the class = 60 * 100 / 100 = 60 percent.
Similarly, the percentage of girls in the class = 40 * 100 / 100 = 40 percent.
Thus, the percentage of boys and girls in the class is equivalent to 60 and 40 percent respectively.
Example 2: Let us assume that, the number of marks in an examination are as follows: 45 for mathematics, 65 for science, 80 for social studies, 65 for English. Now, find the total percentage if the maximum marks for each subject are 100.
Solution: According to the question,
Marks in Mathematics = 45 / 100 .
Marks in Science = 65 / 100 .
Marks in Social studies = 80 / 100 .
Marks in English = 65 / 100 .
There are two steps through which you can solve the question. Let us discuss the easiest and most common step to find the percentage.
Step 1: By using the percentage formula, given value / total value multiplied by 100.
Total marks = Marks in ( science + math + english + social studies ) .
45 + 65 + 65 + 80 = 255.
Maximum Marks for each subject = 100 + 100 + 100 + 100 = 400 .
Given value / total value * 100.
255 / 400 * 100 = 63.75 percent.
Hence, the percentage is equivalent to 63.75 percent.
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