Answer: 75%
15 is 75 percent of 20
If you want to learn more, then please keep reading, and you won't be disappointed.
Step by step method for calculating what percent of 20 is 15
We already have our first value 20 and the second value 15. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
STEP 1Y = 15/20
By multiplying both numerator and denominator by 100 we will get:
STEP 2Y = 15/20 × 100/100 = 75/100
STEP 3Y = 75
Finally, we have found the value of Y which is 75 and that is our answer.
Here is a calculator to solve percentage calculations such as what percent of 20 is 15. You can solve this type of calculation with your values by entering them into the calculator's fields, and click 'Calculate' to get the result and explanation.
Sample questions, answers, and how to
Question: Your uncle had 20 shares of his own company a few years earlier, and now he has 15 of them. What percent of the shares of his company he has now?
Answer: He has 75 percent of shares of his company now.
How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.
Part/Total = Percent
In this case, it's the Total that our uncle owned. So we put 20 on the bottom of the fraction and 15 on top. Now we're ready to figure out the part we don't know; the Percent.
15/20 = Percent
To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:
15/20 × 100/100 = 75/100
75 = Percent
And that means he has 75 percent of the shares of his company now.
Another step by step method
Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 20 = Y% / 15
Step 2: Drop the percentage marks to simplify your calculations: 100 / 20 = Y / 15
Step 3: Multiply both sides by 15 to isolate Y on the right side of the equation: 15 ( 100 / 20 ) = Y
Step 4: Computing the left side, we get: 75 = Y
This leaves us with our final answer: 75 percent of 20 is 15
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Converting a fraction like 15/20 to its percentage format is a very simple and useful math skill that will help students to understand fractions and how to express them in different ways. In this article, we'll show you exactly how to convert fractions to a percentage and give you lots of examples to help you.
There are two main ways to express a fraction as a percentage:
- Divide 100 by the numerator, and then multiply both numerator and denominator by the answer.
- Convert the fraction to a decimal first, then multiply the answer by 100.
The first step is to make sure we understand all of the terms in the problem we are trying to solve:
- Numerator - this is the number above the fraction line. For 1520, the numerator is 15.
- Denominator - this is the number below the fraction line. For 1520, the denominator is 20.
- Per cent - "per cent" means parts per hundred, so saying 50%, for example, is the same as the fraction 50100 or 510.
Convert 15/20 to Percentage by Changing Denominator
The first method we have is to convert the fraction so that the denominator is 100. Since "per cent" means parts per hundred, if we can convert the fraction to have 100 as the denominator, we then know that the top number, the numerator, is the percentage.
First, we divide 100 by the denominator:
100 ÷ 20 = 5
Once we have the answer of 5, we can multiply both the numerator and the denominator by it to get our new "percent" fraction:
15 × 5 20 × 5 = 75 100
Our percent fraction is 75/100, which means that 1520 as a percentage is 75%.
Convert 15/20 to Percentage by Converting to Decimal
With this method, we first need to divide the numerator by the denominator:
15 ÷ 20 = 0.75
Once we have the fraction in a decimal format, the answer is then multiplied by 100 to get the correct percentage:
0.75 × 100 = 75%
We can see that this gives us the exact same answer as the first method: 15/20 as a percentage is 75%.
Both methods of converting a fraction to a percentage are pretty straightward and can be applied to any fraction easily when you have learned and memorized the steps involved.
Note, the final percentage is rounded to 2 decimal places to make the answer simple to read and understand.
Practice Percentage Worksheets
Like most math problems, percentages is something that will get much easier for you the more you practice the problems and the more you practice, the more you understand.
Whether you are a student, a parent, or a teacher, you can create your own percentage worksheets using our percentage worksheet generator. This completely free tool will let you create completely randomized, differentiated, percentafe problems to help you with your learning and understanding of percentages.
Practice Fractions to Percentage Using Examples
If you want to continue learning about how to convert fractions to percentages, take a look at the quick calculations and random calculations in the sidebar to the right of this blog post.
We have listed some of the most common fractions in the quick calculation section, and a selection of completely random fractions as well, to help you work through a number of problems.
Each article will show you, step-by-step, how to convert a fraction into a percentage and will help students to really learn and understand this process.
Calculate Another Fraction to Percentage Conversion
Enter your fraction in the boxes below and click "Calculate" to convert the fraction into a percentage.
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