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Being able to calculate percent increase is an incredibly significant and useful math skill that can be applied in the classroom, on exams, and—most importantly—in the real world. While many students often perceive calculating percent increase as a difficult skill to master, it can actually be extremely easy.

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Percent DefinitionPercent Increase DefinitionCalculating Percent Increase Example #1Calculating Percent Increase Example #2Calculating Percent Increase Example #3What is the percentage increase in the area of A?What will be the percentage increase in the area of a square?What will be the percentage of increase in the area of a circle?

The following không lấy phí Calculating Percent Increase step-by-step lesson guide will teach you how to calculate percent increase using a simple and effective three-step process. As long as you can remember the three steps and learn to apply them, you will be able to quickly and accurately calculate percent to correctly solve math problems.

Before you learn about calculating percent increase using our three-step process, let’s do a quick recap of some key vocabulary terms and definitions related to percents.

Percent Definition

In math, a percent refers to parts per one hundred and the mathematical symbol for percent is %.

For example, 40% means 40 per 100. In the diagram below, 40% of the box is shaded in blue.

In other words, percent is a ratio of some value out of one hundred.

For example, 20% means 20 out of every 100. With this definition in mind, if 20% of 200 students have a test tomorrow, then 40 total students have a test tomorrow.

Percent Increase Definition

Now that you understand percent, what does percent increase mean?

In math, the percent increase between two numbers is the difference between the final number and the starting number. Percent increase is always expressed as a percentage of the first number.

Keep in mind that percent increase will always be represented as a percentage and will include a % symbol.

For example, if you had $60 dollars the start of the week and $90 the end of the week and wanted to find the percent increase, the final number would be 90 and the starting number would be 60.

Identifying the starting number and the final number is relatively simple and it is key for solving percent increase problems.

Calculating Percent Increase

Now you are ready to learn to calculate percent increase using our easy three-step process.

Let’s take a close look the previous scenario:

Calculating Percent Increase Example #1

For the first example, let’s find the percent increase for the following scenario:

If your total savings of $60 the start of the week has grown to $90 by the end of the week, what is the percent increase?

Here is where our three-step process comes in:

Step 1: Find the difference of the values by subtracting the starting value from the final value.

In this case, the final value minus the starting value can be calculated as follows:

90 – 60 = 30

So, the difference of the two values would be 30 in this example. Note that, when calculating percent increase, you will always be subtracting the smaller value from the larger value.

Step 2: Divide the difference by the starting number.

The next step is to take the difference (30 in this example) and divide it by the starting number (60 in this example) as follows:

30/60 = 0.50

Always express your answer as a decimal (doing this will make your life much easier when you get to step three).

Step 3: Multiply by 100

The final step is to multiply the decimal result from step two by one hundred and express the final result as a percent.

0.50 x 100 = 50

Final Answer: 50% Increase

That’s all there is to it! By using the three steps, you can conclude that there was a 50% increase in how much money you had from the start of the week to the end of the week.

Confused? That’s totally fine. Let’s take a look another example where we will calculate percent increase using the three-step process.

Calculating Percent Increase Example #2

In 2022, it cost $48 for Jacob to fill up his car’s gas tank. In 2022, it cost Jacob $64 to fill up his car’s gas tank. What was the percent increase in the cost fill up Jacob’s gas tank from 2022 to 2022?

To solve this problem, note that the starting value is 48 and the final value is 64.

Step 1: Find the difference of the values by subtracting the starting value from the final value.

In this example, the final value minus the starting value can be calculated as follows:

64– 48 = 16

Step 2: Divide the difference by the starting number.

For step two, take the difference (16 in this example) and divide it by the starting number (48 in this example) as follows:

16/48 = 0.3333333

Notice that the result is a repeating decimal, which is ok. You can round the result to the nearest hundredths decimal place to make things easier. In this case, you can round the result to 0.33

Step 3: Multiply by 100

The last step is to multiply the decimal result from step two by one hundred and express the final result as a percent. So…

0.33 x 100 = 33

Final Answer: 33% Increase

We’re all finished! We have concluded that there was a 33% increase in the cost of filling Jacob’s gas tank from 2022 to 2022.

Hopefully, you are feeling better about calculating percent increase using the three-step method. But, if you could still use a little more practice, let’s take a look one last example.

Calculating Percent Increase Example #3

Last school year, 96 students tried out for the Varsity Baseball Team Delta High School. This year, 212 students tried out. What was the percent increase in students who tried out for the Varsity Baseball Team?

Just like the last two examples, you can solve this problem by following the three-step process:

Step 1: Find the difference of the values by subtracting the starting value from the final value.

In this example, the final value minus the starting value can be calculated as follows:

212– 96 = 116

Step 2: Divide the difference by the starting number.

Did you notice that the result from step one is actually larger than the starting value? This occurrence is totally fine and will not prevent the three-step process from working. So, let’s continue with step two as follows:

Find the difference (116 in this example) and divide it by the starting number (96 in this example) as follows:

116/96 = 1.2083333

Just like in example 2, you can round the result to the nearest hundredths decimal place to make things easier. In this case, you can round the result to 1.21

Step 3: Multiply by 100

The last step is to multiply the decimal result from step two by 100 and express the final result as a percent. So…

1.21 x 100 = 121

Final Answer: 121% Increase

All done! Notice how, in this example, the percent increase is over 100%, which just means the ending value was more than double the starting number.

By now, you should be feeling confident in your ability to calculate percent increase using three-step process. However, if you would like some more practice, I recommend that you work through examples one through three again on your own.

What is the percentage increase in the area of A?

We know that percentage increase in area is defined as new area − old areaold area×100. So, we have a percentage increase in area = 1.44A−AA×100. ⇒ Percentage increase in area = 0.44AA×100. ⇒ Percentage increase in area = 0.44×100.

What will be the percentage increase in the area of a square?

Hence, the area of the square gets increased by 21% if its side is increased by 10%.

What will be the percentage of increase in the area of a circle?

Percentage increase in area =πr0. 44πr×100=44% Was this answer helpful? Tải thêm tài liệu liên quan đến nội dung bài viết How do you increase percentage by area? Percentage increase Salary increase Calculator Area percentage Calculator Percentage increase calculator