The number of students in class increased from 10 to 15. What is the percent increase?

There are 2 ways of writing percent, both of which mean the same thing. They just look different.

Example: Suppose we had sixty percent. This can be written as

The ward part of 'per' in percent means 'for each of'. The word part of 'cent' in percent means 100. Think of century which is 100 years. '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ The level of increase is 15-10=5, but this is part of the total original count of ten. So the change as a fraction is :

To change this to percentage we change the bottom number (denominator) to 100.

To calculate the percent increase, subtract the initial value from the final value, divide the result by the initial value, and then multiply by 100 to express it as a percentage.

Percent Increase = ( \left( \frac{{\text{Final Value - Initial Value}}}{{\text{Initial Value}}} \right) \times 100 )

In this case:

Initial Value = 10 Final Value = 15

Percent Increase = ( \left( \frac{{15 - 10}}{{10}} \right) \times 100 )

Percent Increase = ( \left( \frac{{5}}{{10}} \right) \times 100 )

Percent Increase = ( 0.5 \times 100 )

Percent Increase = 50%

So, the percent increase is 50%.

The percent increase is 50%.