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

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

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Answer 1 · 2017-04-02T15:12:14

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

Explanation:

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

Let the unknown value be $x$ $x$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$As a percentage of the original value$ $color(blue)("As a percentage of the original value")$

$12 \to 48 \Rightarrow \frac{48 - 12}{12} = \frac{x}{100}$ $12->48 => (48-12)/12=x/100$

$x = \frac{39}{12} \times 100 = 325$ $x=39/12xx100 = 325$

So we have: $\frac{325}{100} \to 325 \times \frac{1}{100} \to 325 \times % = 325 %$ $325/100->325xx1/100->325xx%=325%$
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$As a percentage of the new value$ $color(blue)("As a percentage of the new value")$

$12 \to 48 \Rightarrow \frac{48 - 12}{48} = \frac{x}{100}$ $12->48=>(48-12)/48=x/100$

$x = \frac{39}{48} \times 100 = 81.25$ $x=39/48xx100= 81.25$

So we have: $\frac{81.25}{100} \to 81.25 \times \frac{1}{100} \to 81.25 \times % = 81.25 %$ $81.25/100->81.25xx1/100->81.25xx%=81.25%$

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

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