Algebra Examples

$48$ is $75 %$ of what number?

Step 1

Write the problem as a mathematical expression.

$48 = 75 % \cdot n$

Step 2

Rewrite the equation as $75 % \cdot n = 48$ .

$75 % \cdot n = 48$

Step 3

Divide each term in $75 % \cdot n = 48$ by $75 %$ and simplify.

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Step 3.1

Divide each term in $75 % \cdot n = 48$ by $75 %$ .

$\frac{75 % \cdot n}{75 %} = \frac{48}{75 %}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $75 %$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{75 % \cdot n}{75 %} = \frac{48}{75 %}$

Step 3.2.1.2

Divide $n$ by $1$ .

$n = \frac{48}{75 %}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Convert $75 %$ to a decimal.

$n = \frac{48}{0.75}$

Step 3.3.2

Divide $48$ by $0.75$ .

$n = 64$