How to find fractional percentages - Algebra 1

of can be calculated as follows.

First, we need to convert into a fraction that we can use in calculations. The percentage symbol tells us that the value is divided by .

Now we can multiply our given value by this fraction to find our answer.

Set up a proportion statement:

Cross-multiply and solve for :

Set up a proportion:

Cross-multiply and solve for :

Set up a proportion statement:

Simplify the right side and solve for :

Let be the percent. Then

Set up the proportion statement:

Cross-multply and solve for :

Set up the proportion statement:

Cross-multply and solve for :

There are a few ways we can approach this problem. We know that is , or .

We also know that for percentages, "of" means multiply, so we can set up a multiplication problem:

Simplifying gives

.

Remember that the word "of" means multiply. One way to solve this is to first divide the percentage by 100.

This is the division of two fractions and can be done by multiplying the first fraction by the reciprocal of the second fraction. Remember to treat as the fraction

The multiplication should look like this

Now multiply across the numerator and denominator

Now that the fractional percentage has been converted to a regular fraction we can multiply this by the to get the answer

It is important to remember that "of" means multiply. Before multiplying, the fractional percentage needs to be converted to a fraction.

Convert to a fraction by dividing it by 100.

The number is the same as the fraction

Since this is the division of two fractions, work it out by multiplying by the reciprocal of

Multiply across the numerator and denominator

Multiply this fraction by or to get the answer