How to calculate Percent of Change

How to calculate Percent of Change

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How many of you are aware that the word percent is derived from the Latin phrase "per centum"? Also, if you break down the word "percent" into the two words "per" and "cent," the meaning becomes pretty clear: it refers to hundred. As a result, we can conclude that percentages are nothing more than fractions whose denominators are always the number \(100\).
So, we can say that in case of a percentage, \(100\) is considered as the whole quantity. For example, if there are \(47\%\) Game CDs in a CD shop, then that means that out of every \(100\) CDs in that CD shop, \(47\) CDs are game CDs. It can also be used as a ratio like \(47:100\). Also, in fraction form, it would be denoted as \(\frac{47}{100}\) .

How to Calculate the Percentage

Now that we understand what a percentage is, let's look at how to calculate it quickly and easily. In percentage questions, we are essentially tasked with determining the portion or share of a whole expressed in terms of \(100\). This can be accomplished in one of the two ways listed below.

  • First and foremost, we can employ the unitary technique.
  • Secondly, we consider the fraction and modify its denominator to the number \(100\).

It is important to note that the second approach can only be utilized effectively when the denominator of the fraction is a factor of \(100\). If this is not the case, we will always fall back on the first technique to solve the problem.
Now, there is a very interesting formula to calculate the part, whole, and percentage.
This goes as \(part \ = \ \frac{percent}{100} \times whole\)
So, suppose in some numerical, you are asked to find out the separate entities like part or percent or even whole, then you can resort to this formula to find the individual answers.

How to Calculate Percent of Change?

Suppose any quantity changes from \(x\) to \(y\) over a course of time. So, the percentage change would be defined as \(\frac{(y \ - \ x)}{x} \times 100\), where \(x\) is the initial value and \(y\) is the final value. Also, \(\frac{(y \ - \ x)}{x}\)  is called the relative change.

Free printable Worksheets

Percent of Change Practice Quiz