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.

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\)

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