# How to Find Fractional and Decimal Percentages

In this easy-to-follow guide, you will learn more about the process of finding both fractional and decimal percentages.

This guide is designed to take you step-by-step through the process of converting between the two different forms of percentages, making it a valuable resource for anyone looking to improve their understanding of this topic. Whether you are a student, professional, or simply someone who wants to improve their math skills, this guide is the perfect tool for mastering the art of finding fractional and decimal percentages.

## A step-by-step guide to finding fractional and decimal percentages

A percentage may be a number or a ratio that can be expressed via a fraction of 100. It also means a part per each hundred.

Percentages can be written as fractions, decimals, or whole numbers.

For example, \(8%, 61%, 0.2%, 0.17%, \frac{1}{6}%\), etc. are all percentages.

In order to find fractional and decimal percentages, you can follow these steps:

- To convert a fraction to a percentage, multiply the fraction by 100. For example, if you have the fraction 3/4, you would multiply 3/4 by 100 to get 75%.
- To convert a decimal to a percentage, multiply the decimal by 100 and add the % symbol. For example, if you have the decimal 0.25, you would multiply 0.25 by 100 to get 25 and then add the % symbol to make it 25%.
- To convert a percentage to a fraction, divide the percentage by 100 and add a denominator of 100. For example, if you have the percentage 75%, you would divide 75 by 100 to get 0.75 and then add a denominator of 100 to get 75/100.
- To convert a percentage to a decimal, divide the percentage by 100. For example, if you have the percentage 25%, you would divide 25 by 100 to get 0.25.

**Using Decimals, Grid Models, and Fractions to Represent Percent – Examples 1**

Find the percentage of 15% of 72.**Solution:****Step 1:** 72 is the whole. 15% is part of the whole. x shows the part.**Step 2:** Write a proportion for x. x/72=15/100**Step 3:** Solve it. x/72=15/100→100x=15×72→100x=1080→x=1080÷100→x=10.8

**Using Decimals, Grid Models, and Fractions to Represent Percent – Examples 2**

Find the percent of \(24 \frac{1}{2}%\) of 58.**Solution:****Step 1:** 58 is the whole. 24.5% is part of the whole. \(x\) shows the part.**Step 2:** Write a proportion for \(x. \frac{x}{58}=\frac{24.5}{100}\)**Step 3:** Solve it. \frac{x}{58}=\frac{24.5}{100}→100x=58×24.5→100x=1421→x=1421÷100→x=14.21\)

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