Converting Percentages

AFL percentages pink graph
Image Source: http://www.edublogs.org

In Australian AFL Football the Fraction of (Total Points Scored by a Team) / (Total Points Scored Against it by its Opponents) is converted into a “Percentage” which helps establish the Team’s current position on the week by week progressive ladder.

AFL Ladder June 2012
Image Source: http://i1045.photobucket.com

Note in the above ladder that teams 2, 3, 4, and 5 all have 9 wins and 3 losses, and so they have been ranked by Percentage.

If you want to find out more about how Percentages and the AFL ladder work, then click the link below:

http://www.afl.com.au/development/aflexplained/about/tabid/13532/default.aspx#ladder

 

Conversion of many types of items into Percentages is vitally important in our modern world.

Examples include Test Scores, Unemployment Rates, Company Profit Increases, Investment Earnings, Rates of Obesity, Price Increases, Fuel Economy Improvements, and so on.

Percentage is a great unit of measurement, because people usually understand what parts of 100 mean, such as 50% means one half, 25% means one quarter, and so on.

Doing Percentage Conversions is an important skill to master.

 
 

Percentage Conversions Summary

The following diagram summarises how to do Percentage Conversions.

Percentage Conversions Diagram
Image Copyright 2012 by Passy’s World

We have covered these conversions as separate lessons previously as follows:

Converting Percentages to Fractions
Converting Percentages to Decimals
Converting Fractions to Percentages
Converting Decimals to Percentages

The following are the required steps for doing each of these four types of conversions.

 

Converting Percentages to Fractions

There are three conversions which need to be mastered: Whole Number Percentages, Fractional Percentages, and Decimal Percentages.

The steps for doing these three types of Percentage to fraction Conversions are as follows.

Percentages to Fractions Summary
Image Copyright 2012 by Passy’s World

 
 

Fraction Percentages Summary
Image Copyright 2012 by Passy’s World

 
 

Decimal Percentages Summary
Image Copyright 2012 by Passy’s World

 
 

Converting Percentages to Decimals

Percentages to Decimal Conversion
Image Copyright 2012 by Passy’s World

 
 

Converting Fractions to Percentages

Fraction to Percentage
Image Copyright 2012 by Passy’s World

 
 

Converting Decimals to Percentages

Decimal to Percentage 1
Image Copyright 2012 by Passy’s World

 
 

Percentage Conversion Worksheets

The following worksheets from the excellent website: “Math Worksheets 4 Kids” each give a PDF document of questions to do, followed by the Answers on the next page when we scroll down.

Click the links below to open up each of these worksheets and do the questions.

Converting Percentages to Fractions

Converting Percentages to Decimals

Converting Fractions to Percentages

Converting Improper Fractions to Percentages

Converting Decimals to Percentages

 
 

Related Items

Introduction to Percentages
Converting Percentages to Fractions
Converting Percentages to Decimals
Converting Fractions to Percentages
Converting Decimals to Percentages
Interesting Percentages
Percentages and Weight Training
Decimals and Percentages Games

 

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Passy

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  1. Pingback: Percentage Discounts | Passy's World of Mathematics

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