What is 10 out of 15 as a percentage? Show
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Question: Your uncle had 10 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 150 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. PartTotal = Percent In this case, it's the Total that our uncle owned. So we put 10 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. 1510 = 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: 1510 × 100100 = 150100 150 = Percent And that means he has 150 percent of the shares of his company now. Another step by step methodStep 1: Let's solve the equation for Y by first rewriting it as: 100% / 10 = Y% / 15 Step 2: Drop the percentage marks to simplify your calculations: 100 / 10 = Y / 15 Step 3: Multiply both sides by 15 to isolate Y on the right side of the equation: 15 ( 100 / 10 ) = Y Step 4: Computing the left side, we get: 150 = Y This leaves us with our final answer: 150 percent of 10 is 15
10:15*100 = (10*100):15 = 1000:15 = 66.67 Now we have: 10 is what percent of 15 = 66.67 Question: 10 is what percent of 15? Percentage solution with steps: Step 1: We make the assumption that 15 is 100% since it is our output value. Step 2: We next represent the value we seek with {x}. Step 3: From step 1, it follows that {100\%}={15}. Step 4: In the same vein, {x\%}={10}. Step 5: This gives us a pair of simple equations: {100\%}={15}(1). {x\%}={10}(2). Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS \frac{100\%}{x\%}=\frac{15}{10} Step 7: Taking the inverse (or reciprocal) of both sides yields \frac{x\%}{100\%}=\frac{10}{15} \Rightarrow{x} = {66.67\%} Therefore, {10} is {66.67\%} of {15}.
Solution and how to convert 10 / 15 into a percentage
We encourage you to check out our introduction to percentage page for a little recap of what percentage is. You can also learn about fractions in our fractions section of the website. Sometimes, you may want to express a fraction in the form of a percentage, or vice-versa. This page will cover the former case. Luckily for us, this problem only requires a bit of multiplication and division. We recommend that you use a calculator, but solving these problems by hand or in your head is possibly too! Here's how we discovered that 10 / 15 = 66.67% :
Note that you can reverse steps 1 and 2 and still come to the same solution. If you multiply 10 by 100 and then divide the result by 15, you will still come to 66.67! When are fractions useful?Fractions are commonly used in everyday life. If you are splitting a bill or trying to score a test, you will often describe the problem using fractions. Sometimes, you may want to express the fraction as a percentage. Convert 10 / 15 into a percentage or decimal
Remember: Converting a fraction to a percentage or decimal are all equivalent numbers. They are all used to represent a relationship between numbers. We can choose how we represent numbers by which style matches the appropriate situation. Find the DenominatorA percentage is a number out of 100, so we need to make our denominator 100! If the original denominator is 15, we need to solve for how we can make the denominator 100. Hint: percentages all have a denominator of 100! To convert this fraction, we would divide 100 by 15, which gives us 6.67. Find the NumeratorNow, we multiply 6.67 by 10, our original numerator, which is equal to 66.67 Convert your Fraction to a PercentRemember, a percentage is any number out of 100. If we can balance 10 / 15 with a new denominator of 100, we can find the percentage of that fraction! Help your students convert 10 / 15 through further understanding:
It's very common when learning about fractions to want to know how convert a fraction like 10/15 into a percentage. In this step-by-step guide, we'll show you how to turn any fraction into a percentage really easily. Let's take a look!
Want to quickly learn or show students how to convert 10/15 to a percentage? Play this very quick and fun video now! Before we get started in the fraction to percentage conversion, let's go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We'll use this later in the tutorial. When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form. So, since our denominator in 10/15 is 15, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator: 100 ÷ 15 = 6.6666666666667 Once we have that, we can multiple both the numerator and denominator by this multiple: 10 x 6.6666666666667 / 15 x 6.6666666666667 = 66.666666666667 / 100 Now we can see that our fraction is 66.666666666667/100, which means that 10/15 as a percentage is 66.6667%. We can also work this out in a simpler way by first converting the fraction 10/15 to a decimal. To do that, we simply divide the numerator by the denominator: 10/15 = 0.66666666666667 Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage: 0.66666666666667 x 100 = 66.6667% And there you have it! Two different ways to convert 10/15 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps. I've seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below). If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few fractions to a percentage yourself. Hopefully this tutorial has helped you to understand how to convert a fraction to a percentage. You can now go forth and convert fractions to percentages as much as your little heart desires! Cite, Link, or Reference This PageIf you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. We really appreciate your support!
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