Algebra Examples

$120 %$ of what number is $102$ ?

Step 1

Write the problem as a mathematical expression.

$120 % \cdot n = 102$

Step 2

Divide each term in $120 % \cdot n = 102$ by $120 %$ .

$\frac{120 % \cdot n}{120 %} = \frac{102}{120 %}$

Step 3

Simplify the left side.

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Step 3.1

Cancel the common factor of $120 %$ .

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Step 3.1.1

Cancel the common factor.

$\frac{120 % \cdot n}{120 %} = \frac{102}{120 %}$

Step 3.1.2

Divide $n$ by $1$ .

$n = \frac{102}{120 %}$

Step 4

Simplify the right side.

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Step 4.1

Convert $120 %$ to a decimal.

$n = \frac{102}{1.2}$

Step 4.2

Divide $102$ by $1.2$ .

$n = 85$