# What is the percent of increase from 25 to 40?

Aug 18, 2016

=60%

#### Explanation:

$\frac{40 - 25}{25} \times 100$

$= \frac{15}{25} \times 100$

=60%

Aug 18, 2016

60% increase

#### Explanation:

Using the shortcut method

$\left(\text{change")/("original value}\right) \times 100$ ...................Equation(1)

Some people say you should write this as:

("change")/("original value") xx100%....................Equation(2)

Which I do not agree with.

However; if you wrote it as:
color(green)("as a percentage the change is:"->(("change")/("original value") xx100)%)

Then I do agree. There is a very subtle difference.
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
I am going to use equation type (1)

$\frac{40 - 25}{25} \times 100 = \cancel{150} \leftarrow \text{ error}$

$\frac{15}{25} \times 100 = 60$

Write as 60%

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~