How to Find 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:

1. 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%.
2. 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%.
3. 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.
4. 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\)