How To Take The Percentage Of Something
How To Take The Percentage Of Something – Calculating percentage growth is a very important and useful math skill that can be applied in the classroom, on exams and – most importantly – in the real world. Although many students often see percentage increment arithmetic as a difficult skill to master, it can actually be very simple.
The following step-by-step lesson guide for calculating a free percentage increase will teach you how to calculate a percentage increase using a simple and effective three-step process. As long as you remember the three steps and learn how to apply them, you can quickly and accurately calculate percentages to correctly solve math problems.
How To Take The Percentage Of Something
Before you learn how to calculate percentage growth using our three-step process, let’s briefly recap some key vocabulary terms and definitions related to percentages.
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In mathematics, percentage refers to parts per hundred and the mathematical symbol for percentage is %.
For example, 40% means 40 out of 100. In the chart below, 40% of the square is shaded blue.
For example, 20% means 20 out of 100. With this definition in mind, if 20% of 200 students have an exam tomorrow, then a total of 40 students will take the exam tomorrow.
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In mathematics, the percentage increase of two numbers is the difference between the ending number and the starting number. The growth percentage is always expressed as a percentage of the first number.
Remember that a percentage increment is always expressed as a percentage and contains a % symbol.
For example, if you had $60 at the beginning of the week and $90 at the end of the week, and you wanted to find the percentage increase, your ending number would be 90 and your starting number would be 60.
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Determining the starting number and ending number is relatively easy and is key to solving percentage increment problems.
If your total savings of $60 at the beginning of the week increases to $90 by the end of the week, what is the percentage increase?
So the difference between the two values in this example would be 30. Note that when calculating percentage increments, 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 original number (60 in this example) as follows:
Always express your answer as a decimal number (doing this will make your life much easier when you get to the third step).
The final step is to multiply the decimal result of the two steps by a hundred and express the final result as a percentage.
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That’s it! Using three steps, you can conclude that your money increased by 50% from the beginning of the week until the end of the week.
Shy? That’s totally fine. Let’s look at another example where we calculate the growth rate using a three-step process.
In 2021, it cost Jacob $48 to fill up his car’s gas tank. In 2022, it cost Jacob $64 to fill up his car’s gas tank. How much will it cost to fill Jacob’s gas tank from 2021 to 2022?
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For the second step, take the difference (16 in this example) and divide it by the original number (48 in this example) as follows:
Note that the result is a repeating decimal number, which is fine. To make things easier, you can round the result to one decimal place. In this case, you can round the result to 0.33
As a final step, the decimal result of the two steps is multiplied by a hundred and the final result is expressed as a percentage. So…
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We’re all done! We concluded that between 2021 and 2020, the cost of filling Jacob’s gas tank increased by 33%.
We hope you feel better calculating the growth percentage using the 3-step method. But if you can practice a little more, let’s look at the last example.
This past school year, 96 students tried out for the Delta baseball team at Varsity High School. 212 students attempted this year. What percentage of students have tried out for the Varsity Baseball Team?
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Have you noticed that the result of the first step is actually greater than the initial value? This case is perfectly fine and doesn’t preclude the three-step process from working. So, let’s move on to the second step as follows:
Find the difference (116 in this example) and divide it by the prime number (96 in this example) as follows:
Just like in Example 2, you can round the result to the nearest hundredth to make things easier. In this case, you can round the result to 1.21
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As a final step, the decimal result of the second step is multiplied by 100 and the final result is expressed as a percentage. So…
Everything is okay! Notice how the percentage in this example exceeded 100%, which means the final value was more than twice the starting number.
By now you should be confident that you can calculate the percentage growth using a three-step process. However, if you still want to practice, I recommend that you work through examples one through three again on your own.
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Are you ready to broaden your thinking and learn how to calculate percentage drop as well? Click the link below to access our free step-by-step guide: Knowing how to calculate a percentage or percentage is a useful skill in everyday life. You can use percentages to calculate scores, tips, taxes, precipitation chances, and car payments. In science, the percentage is used to calculate the error percentage and the mass percentage. Below is a step-by-step tutorial showing how to find a percentage and examples of practical applications.
Percentage means “per hundred”. The number is expressed as a fraction of the total multiplied by 100%. The percentage sign (%) or the abbreviation “pct” indicates the percentage. The percentage value can be written as a fraction of 100 (eg 5% is 5/100) or as its decimal equivalent (5/100 is 0.05).
You have 9 balls. 3 of them are blue. What percentage of marble is blue? What percentage of balls are not blue?
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There are two ways to find the percentage of non-blue marble. The percentages of all marble colors must add up to 100%, so the easiest way is to subtract the part of the blue marble from 100%.
The easiest way to calculate tips doesn’t actually involve multiplication. You only need to move the decimal point one space to the left to get 10%, so your 10% tip on $18.72 would be $1.87. A 5% tip would be half that amount, or about 94 cents. Add a total of 10% tip and 5% tip to get a 15% tip ($1.87 + $0.94).
The first step is to find 8.1% of $12.99. Remember, 8.1% is the same as 8.1/100, or 0.081.
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You must score at least 60% in the final exam to pass the class. There are 15 questions in the final, all of them being of the same pot. How much do you need to get the scroll right?
Calculate what equals 60% of 15. Remember, 60% is the same as the fraction 60/100, or the decimal value of 0.60. The term “percent” is taken from the Latin word “percent,” meaning “hundred.” Percentages are fractions with a denominator of 100. In other words, they are the ratio of a part to a whole, where the value of the whole is always 100.
A percentage is a fraction or ratio in which the value of the whole is always 100. For example, if Sam scored 30% on a math test, that means he got 30 out of 100. It’s written as 30/100 as a fraction and in a ratio of 30:100.
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Percentage is defined as a certain part or amount in every hundredth. It is a fraction with a denominator of 100 and is represented by the symbol “%”.
Calculating a percentage means finding the ratio of all times 100. There are two ways to find a percentage:
It should be noted that the second percent method is not used in cases where the denominator does not have a coefficient of 100. In such cases, we use the unitary method.
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If we have two or more values that add up to 100, then the percentage of those odd values of the total is the same number. For example, Sally bought three different colored tiles for her home. Purchase details are shown in the following table.
What if the total number of items does not reach 100? In such cases, we convert the fractions to equal fractions with a denominator of 100.
For example, Emma has a bracelet that consists of 20 beads of two different colors, red and blue. Follow the table below to show the ratio of red and blue beads out of the 20 beads.
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Nora used the unitary method. Using a standardized method for calculating percentage, suppose that out of 20 beads, the number of red beads is 8. So out of 100
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