Question: Your uncle had 80 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? Show Answer: He has 18.75 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. PartTotal = Percent In this case, it's the Total that our uncle owned. So we put 80 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. 1580 = 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: 1580 × 100100 = 18.75100 18.75 = Percent And that means he has 18.75 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% / 80 = Y% / 15 Step 2: Drop the percentage marks to simplify your calculations: 100 / 80 = Y / 15 Step 3: Multiply both sides by 15 to isolate Y on the right side of the equation: 15 ( 100 / 80 ) = Y Step 4: Computing the left side, we get: 18.75 = Y This leaves us with our final answer: 18.75 percent of 80 is 15 15 percent *80 = (15/100)*80 = (15*80)/100 = 1200/100 = 12 Now we have: 15 percent of 80 = 12 Question: What is 15 percent of 80? We need to determine 15% of 80 now and the procedure explaining it as such Step 1: In the given case Output Value is 80. Step 2: Let us consider the unknown value as x. Step 3: Consider the output value of 80 = 100%. Step 4: In the Same way, x = 15%. Step 5: On dividing the pair of simple equations we got the equation as under 80 = 100% (1). x = 15% (2). (80%)/(x%) = 100/15 Step 6: Reciprocal of both the sides results in the following equation x%/80% = 15/100 Step 7: Simplifying the above obtained equation further will tell what is 15% of 80 x = 12% Therefore, 15% of 80 is 12
It's very common when learning about fractions to want to know how convert a fraction like 15/80 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 15/80 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 15/80 is 80, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator: 100 ÷ 80 = 1.25 Once we have that, we can multiple both the numerator and denominator by this multiple: 15 x 1.25 / 80 x 1.25 = 18.75 / 100 Now we can see that our fraction is 18.75/100, which means that 15/80 as a percentage is 18.75%. We can also work this out in a simpler way by first converting the fraction 15/80 to a decimal. To do that, we simply divide the numerator by the denominator: 15/80 = 0.1875 Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage: 0.1875 x 100 = 18.75% And there you have it! Two different ways to convert 15/80 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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15:80*100 = (15*100):80 = 1500:80 = 18.75 Now we have: 15 is what percent of 80 = 18.75 Question: 15 is what percent of 80? Percentage solution with steps: Step 1: We make the assumption that 80 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\%}={80}. Step 4: In the same vein, {x\%}={15}. Step 5: This gives us a pair of simple equations: {100\%}={80}(1). {x\%}={15}(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{80}{15} Step 7: Taking the inverse (or reciprocal) of both sides yields \frac{x\%}{100\%}=\frac{15}{80} \Rightarrow{x} = {18.75\%} Therefore, {15} is {18.75\%} of {80}. 15 of 80 is 18.75% Steps to solve "what percent is 15 of 80?"
MathStep (Works offline) Download our mobile app and learn how to work with percentages in your own time:Android and iPhone/ iPad More percentage problems: 30 of 80 15 of 160 45 of 80 15 of 240 75 of 80 15 of 400 105 of 80 15 of 560 15% of what number is 80 15 percent of 80 Find another |