Algebra Examples

$15$ is $30 %$ of what number?

Step 1

Write the problem as a mathematical expression.

$15 = 30 % \cdot n$

Step 2

Rewrite the equation as $30 % \cdot n = 15$ .

$30 % \cdot n = 15$

Step 3

Divide each term in $30 % \cdot n = 15$ by $30 %$ and simplify.

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Step 3.1

Divide each term in $30 % \cdot n = 15$ by $30 %$ .

$\frac{30 % \cdot n}{30 %} = \frac{15}{30 %}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $30 %$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{30 % \cdot n}{30 %} = \frac{15}{30 %}$

Step 3.2.1.2

Divide $n$ by $1$ .

$n = \frac{15}{30 %}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Convert $30 %$ to a decimal.

$n = \frac{15}{0.3}$

Step 3.3.2

Divide $15$ by $0.3$ .

$n = 50$