 # Percentage Change Formula

When there is a change in values, to know the percent change in the values, the percent change formula is used. Sometimes to know the discounts change, the change in prices of products or income, percentage change formula comes in handy. It is expressed in percentage, it is the change in new value with respect to the old value. The change in value is divided by the original value and then multiplied by 100.

## Percentage change formula is

$\large Percentage\;Change=\frac{New\;Value-Old\;Value}{Old\;Value}\times 100$

If the result is positive, then it is an increase.

If the result is negative, then it is a decrease.

### Solved Example

Question: What is the percentage change in the weight of Krishna, if he had decreased to 77 kg from 82 kg?

Solution:

Using the formula:

$$\begin{array}{l}Percentage\;Change=\frac{New\;Value-old\;Value}{Old\;Value}\times 100\end{array}$$

$$\begin{array}{l}Percentage\;Change=\frac{77-82}{82}\times 100\end{array}$$

= -6.09

Hence the percent change in his weight = 6.09%.

Thus, Krishna has reduced 6.09% of his weight.