What is 48 of 60 as a percentage?

What is 48 out of 60 as a percentage?


What is 48 of 60 as a percentage?
When you ask "What is 48 out of 60?" you want to know what percent 48 is out of 60. Here are step-by-step instructions showing you how we calculated 48 out of 60 as a percentage: The first step is to divide 48 by 60 to get the answer in decimal form: 48 / 60 = 0.8000 Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage: 0.8000 * 100 = 80.00% We can prove that the answer is correct by taking 80.00 percent of 60 to get 48: (60 x 80.00)/100 = 48 Note that our calculator rounds the answers up to two decimals if necessary. Once again, the answer is as follows:

80.00%


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What is 48 out of 61 as a percentage?

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48:60*100 =

(48*100):60 =

4800:60 = 80

Now we have: 48 is what percent of 60 = 80

Question: 48 is what percent of 60?

Percentage solution with steps:

Step 1: We make the assumption that 60 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\%}={60}.

Step 4: In the same vein, {x\%}={48}.

Step 5: This gives us a pair of simple equations:

{100\%}={60}(1).

{x\%}={48}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{60}{48}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{48}{60}

\Rightarrow{x} = {80\%}

Therefore, {48} is {80\%} of {60}.

Solution and how to convert 48 / 60 into a percentage

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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 48 / 60 = 80% :

  • Step 1: Divide 48 by 60 to get the number as a decimal. 48 / 60 = 0.8
  • Step 2: Multiply 0.8 by 100. 0.8 times 100 = 80. That's all there is to it!

Note that you can reverse steps 1 and 2 and still come to the same solution. If you multiply 48 by 100 and then divide the result by 60, you will still come to 80!

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 48 / 60 into a percentage or decimal

Percentage Fraction Decimal
80% 48 / 60 0.8

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 Denominator

A percentage is a number out of 100, so we need to make our denominator 100!

If the original denominator is 60, 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 60, which gives us 1.67.

Find the Numerator

Now, we multiply 1.67 by 48, our original numerator, which is equal to 80

Convert your Fraction to a Percent

Remember, a percentage is any number out of 100. If we can balance 48 / 60 with a new denominator of 100, we can find the percentage of that fraction!

Help your students convert 48 / 60 through further understanding:

  • What is the numerator of 48 / 60?
  • What is the denominator of 48 / 60?
  • When would you use 48 / 60 as a fraction? Give examples
  • When would you use 48 / 60 as a decimal? Give examples
  • When would you use 48 / 60 as a percentage? Give examples
  • What are three other fractions that convert to 80%?
  • Ask your students to think of three real life examples of when to use fractions vs percentages.
  • Which fraction is larger: 48 / 60 or 158 / 144?

1. How to Find Fraction 48/60 into Percentage?

You can find percentage conversion from the given fraction 48 by 60 by dividing the two numbers i.e. 48/60 and then multiply the result with 100 to get the percentage value. Check out the calculation steps from below:

=(48/60)*100

=80 %

2. What is the Percentage conversion for 48/60 fraction?

The percentage value for 48/60 is 80%.

3. Where do I attain complete steps on converting 48/60 fraction into percentage?

You can attain detailed steps on 48/60 fraction to percent conversion on our page. Make use of them and understand the concept of fractions to percentages conversion efficiently.

48 of 60 is 80%

Steps to solve "what percent is 48 of 60?"

  1. 48 of 60 can be written as:
    48/60
  2. To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

    48/60 × 100/100

  3. = (48 × 100/60) × 1/100 = 80/100
  4. Therefore, the answer is 80%

    If you are using a calculator, simply enter 48÷60×100 which will give you 80 as the answer.

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More percentage problems: 96 of 60 48 of 120 144 of 60 48 of 180 240 of 60 48 of 300 336 of 60 48 of 420 48% of what number is 60 48 percent of 60

Find another

It's very common when learning about fractions to want to know how convert a fraction like 48/60 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 48/60 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 48/60 is 60, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 60 = 1.6666666666667

Once we have that, we can multiple both the numerator and denominator by this multiple:

48 x 1.6666666666667 / 60 x 1.6666666666667 = 80 / 100

Now we can see that our fraction is 80/100, which means that 48/60 as a percentage is 80%.

We can also work this out in a simpler way by first converting the fraction 48/60 to a decimal. To do that, we simply divide the numerator by the denominator:

48/60 = 0.8

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.8 x 100 = 80%

And there you have it! Two different ways to convert 48/60 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!

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