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== Percent Calculations: Comparisons Applying Percents Approach ==

Percents can be a CONVENIENT WAY to EXPRESS a PROPORTION.

Calculating a percent might be extra work. However, when the percent calculation may be completed, PERCENTS are really simple to UNDERSTAND.

For example, suppose two students possess the following academic averages: 84% and 86%.

You can easily observe that (all other things being equal) the student together with the 86% average is the better student. All anyone has got to do is look at the numbers. 86% is really a bigger number than 84%. 86% is preferable to 84%.

Even if the person reading the two numbers (84% & 86%) has no idea that the percent is calculated, they still realize that 86% is larger and much better than 84%.

What percents actually mean:

Let me continue using the instance present in students who earned the 84% and 86% averages. For this example, the students earned their percentage scores entirely from multiple choice tests. (Students in real life do not just take multiple choice tests. However, for this example that's all they actually do.) 84% ensures that for every 100 multiple choice questions this student experimented with answer, this student answered 84 correctly. 86% ensures that for each and every 100 multiple choice questions this student experimented with answer, this student answered 86 correctly. By now maybe you are thinking: Students' are certainly not given tests with exactly 100 questions every time. The student that is given a test just 75 questions, or perhaps the student who is given an evaluation with 150 questions?

A % calculation compensates of these differences. That is certainly the reason a percent calculation is so practical.

Fractions could be used rather than percent.

A percent is employed represent a proportion.

However, one of the most STRAIGHTFORWARD method to represent a PROPORTION is to USE a portion. For instance, suppose the first student within the example actually took an evaluation with 75 questions and answered 63 questions correctly. The proportion of questions answered correctly could be represented with the fraction 63/75 (63 correct answers beyond 75 questions). Now think the second student within the example actually took an evaluation with 150 questions and answered 129 questions correctly. The proportion of questions answered correctly can be represented by the fraction 129/150 (129 correct answers from 150 questions).

Which student is the greatest student?

Compare the fractions.

Which student gets the highest average (which is the larger fraction)? 63/75 or 129/150? It is extremely hard to answer that question merely by glancing at these fractions. Writing fractions to represent a proportion may be easy, but comparing different fractions can be frustrating and time-consuming. Using a percent to match two proportions doesn't have this difficulty. Comparing two percents is straightforward to perform. For this reason a percent is commonly used instead of a fraction. (However, remember that a portion along with a percent both REPRESENT the same: a PROPORTION.)

The way to calculate a percent:

Calculating a percent takes a small amount of work. Calculating a percent means the fraction (addressing the proportion) have to be changed to a decimal, and therefore the decimal has to be multiplied by 100. To perform this procedure: utilize a calculator or perhaps happy to carry out some division long hand.

Converting both the fractions from to percents: 63/75 and 129/150

Percent - 1st student

Proportion = 63/75
= (63/75) * 100
= (.84) * 100
= 84 %

Percent - 2nd student

Proportion = 129/150
= (129/150) * 100
= (.86) * 100
= 86 %


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