Solving Percentage Sentence Problems

In this lesson, we are going to solve percentage problems using percentage sentences. If you recall a percent is a part of a hundred. You can easily remember this definition by looking at the percentage symbol %. From the symbol you can take the slash to be 1 and the two zeros above and below to be the zeros in a hundred.

When reading a percent sentence, we have to convert the percent sentence into a mathematical formula. There is a set format that we use in order to solve our problems. Let us look at the format.

______ x _____= ________

This is how all our percentage sentences will look like when converted into a mathematical formula. The first blank stands for the percentage. The multiplication symbol stands for the term 'of' while the second blank is our principal amount. The equals sign will be represented by the term 'is' and the last blank is our answer.

Let us look at a few examples below.

Example 1


What is 50% of 200?

To solve our problem, we have to break down the sentence so it follows the above format.

In the first blank space, we need the percentage that we are looking for. In this case we are looking for 50% of 200. Therefore, 50 becomes our first number and we write it down in the first blank.

The next thing we need to do is write down the multiplication sign that in our question is represented by 'of'. After this sign, we need our principal number or the number from which we are getting the percentage. That number is 200.

The above should look like this.

50% X 200 = ______

At this stage, we need to convert our percentage to a decimal number. We start by eliminating the percentage sign and replacing it with a decimal point. Now move the decimal point two steps towards the left and then add a zero before the decimal point.

0.50 x 200 = _______

At this stage, you can go ahead and multiply the two figures to get your answer and solve the problem.

In the above example we know that the biggest percent is 100%. It therefore should mean that, 50% is half of 200 hence the answer to our above example is 10.

0.50 x 200 = 100



Example 2

What is 50% of 60?

The above when translated to our format will look like this:

50% x 60 = ________

Convert 50% into a decimal number. First thing you need to do when transforming a percentage to a decimal number is removing the percentage symbol and replacing it with a decimal. The next step is to move the decimal point two spaces towards the left and add a zero before the decimal point. Your equation will change as below.

0.50 x 60 =______

From what we gathered from the above example, 50% of anything means half of it. Therefore your answer should be half of 60.

0.50 x 60 = 30


Resource

Browse Common Decimals
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Browse Common Fractions
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