# How do you find each percent of change when 12 is decreased to 48?

## List item

Apr 2, 2017

325% of the original value
81.25% of the new value

#### Explanation:

Note that the symbol % is like a unit of measurement but one that is worth $\frac{1}{100}$ of something

Let the unknown value be $x$
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$\textcolor{b l u e}{\text{As a percentage of the original value}}$

$12 \to 48 \implies \frac{48 - 12}{12} = \frac{x}{100}$

$x = \frac{39}{12} \times 100 = 325$

So we have: 325/100->325xx1/100->325xx%=325%
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$\textcolor{b l u e}{\text{As a percentage of the new value}}$

$12 \to 48 \implies \frac{48 - 12}{48} = \frac{x}{100}$

$x = \frac{39}{48} \times 100 = 81.25$

So we have: 81.25/100->81.25xx1/100->81.25xx%=81.25%