# How To Determine The Percentage Of Something

Monday, January 16th 2023. | Sample Templates

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This article was co-written by Jack Adams. Jake Adams is an education professor and owner of Simplifi EDU, a Santa Monica, California online tutoring business that provides learning resources and online tutors for K-college, SAT & ACT prep, and college applications. With over 14 years of professional tutoring experience, Jake is dedicated to providing his clients with the best online tutoring experience and access to a network of undergraduate and graduate level tutors from top colleges across the country. Jack holds a BS in International Business and Marketing from Pepperdine University.

## How To Determine The Percentage Of Something

There are 12 references cited in this article, which can be found at the bottom of the page.

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Knowing how to calculate percentages will help you score better not only in maths exams but also in the real world. You can create percentages to calculate how much to tip at restaurants, find the percentage change in price, or determine the statistics of your favorite sports team. Although the language may seem confusing at first, calculating percentages is actually quite easy.

We will show you the main types of percentage problems in math homework and business, and give you daily examples of percentage calculations.

#### How To Calculate Percentage Increase Or Decrease (percentage Change)

To calculate percentages, start by writing the number you want to convert to a percentage rather than a whole value so you end up with a fraction. Then, convert the fraction to a decimal by dividing the top number by the bottom number. Finally, multiply the decimal by 100 to find the percentage. Scroll down to learn how to calculate a discount using a percentage! Calculating percent increase is an extremely important and useful maths skill that can be used in the classroom, on exams, and – most importantly – in the real world. Although many students often feel that calculating percentage increases is a difficult skill to master, it is actually quite easy.

The following free Calculating Percentage of Progress step-by-step lesson guide will teach you how to calculate percentage progress using a simple and effective three-step process. As long as you remember the three steps and learn to use them, you can calculate percentages quickly and accurately to solve math problems correctly.

Before we learn how to calculate percentage increase using our three-step process, let’s quickly review some key vocabulary terms and definitions related to percentages.

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In mathematics, a percentage is a part per hundred and the mathematical symbol for percentage is %.

For example, 40% is 40 out of 100. In the graph below, the 40% box is colored blue.

For example, 20% is 20 out of 100. Keeping this definition in mind, if 20% of 200 students have an exam tomorrow, then a total of 40 students will have an exam tomorrow.

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

Note that percentage increases are always expressed as a percentage and include the % symbol.

For example, if you have \$60 dollars at the beginning of the week and \$90 at the end of the week, and you want to find the percentage increase, the ending number is 90 and the starting number is 60.

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Finding the start number and the end number is relatively simple and is important for solving percent increase problems.

If your total savings from \$60 at the beginning of the week increased to \$90 at the end of the week, what would be the percentage increase?

So, in this example the difference of the two values ​​will be 30. Remember, when calculating the percentage increase, you always subtract the smaller value from the larger value.

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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:

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

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

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That’s it! By applying the three steps, you can conclude that there is a 50% increase in the amount of money you had from the beginning of the week to the end of the week.

Confused? That is absolutely correct. Let’s look at another example of calculating a percentage increase using a three-step process.

In 2021, it cost Jacob \$48 to fill his car’s gas tank. In 2022, Jacob costs \$64 to fill his car’s gas tank. By what percentage did the cost of filling Jacob’s gas tank increase between 2021 and 2022?

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

Note that the result is a repeating decimal, which is correct. To make things easier, the result can be rounded to the nearest hundredth decimal place. In this case, you can change the result to 0.33

The final step is to multiply the decimal result from step two by hundreds and express the final result as a percentage. So…

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We’re all done! We conclude that there is a 33% increase in the cost of filling Jacob’s gas tank between 2021 and 2020.

I hope you feel comfortable calculating the percentage increase using the three step method. But if you could use a little more practice, let’s look at the last example.

Last school year, 96 students at Delta High School tried out for the varsity baseball team. 212 students applied this year. What percentage of students try out for the varsity baseball team?

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Did you notice that the result of step one is actually greater than the initial value? This phenomenon is perfectly fine and does not stop the three-step process from working. Therefore, step two can be continued as follows:

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

As in Example 2, the result can be rounded to the nearest hundredth to make things easier. In this case, you can round the result to 1.21

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

All done! Note that the percentage increase in this example is over 100%, meaning the final value is twice the initial number.

Now, you should be confident in your ability to calculate the percentage increase using the three step process. However, if you want more practice, I recommend that you repeat one or three examples on your own.

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Are you ready to expand your mind and learn how to calculate a percentage discount? Click the link below to access our free step-by-step guide: First, multiply the given percentage (in decimal form) by the base value. So, for example, we multiply 300 by 1.10.

Multiply the second percentage using the new value (also in decimal form). To find the final value, we multiply 330 by 1.20.

Q1) A shop sells a pair of pants for a profit of 15%. A concession also adds 5% on top of the cost. If the price of the supplier’s pants is \$800, how much should a customer pay a concession?

## Ways To Calculate A Discount

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