How do you find the percent change given the original number is 50 and new number is 30?

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Answer 1 · 2017-01-20T20:24:36

See the solution process below:

The formula for calculating the rate or percentage change is:

$p = \frac{N - O}{O} \cdot 100$ $p = (N - O)/O * 100$

#Where:

$p$ $p$ is the percentage change
$N$ $N$ is the New Value (30 in this case)
$O$ $O$ is the Old Value (50 in this case)

Substituting and solving for $p$ $p$ gives:

$p = \frac{30 - 50}{50} \cdot 100$ $p = (30 - 50)/50 * 100$

$p = \frac{- 20}{50} \cdot 100$ $p = (-20)/50 * 100$

$p = \frac{- 2000}{50}$ $p = (-2000)/50$

$p = - 40$ $p = -40$

The percentage change is $- 40 %$ $-40%$