Fractions and percentages are closely related—both express a part of a whole. Here, you will learn how to convert fractions and decimal numbers to percentages, and back.

In fact, you can change the percentage symbol to a regular number with the fraction $\frac{1}{100}$ in your calculations. Since we’re discussing parts in one hundred, you can write your percentage as a decimal number by using the tenths and hundredths place values. You can do it like this:

$$7\text{\%}=7\cdot \frac{1}{100}=\frac{7}{100}=0.07$$

You’re now going to learn how to go the other way, from fractions and decimal numbers to percentages. You can always change the fraction $\frac{1}{100}$ to a percentage symbol %. If you have more than $100$ %, your decimal number will be larger than $1$. Your goal is to make sure that your denominator is $100$. You will often have to expand or simplify your fraction.