What is 11 out of 20 as a percentage?
55.00%
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What is 11 out of 21 as a percentage?
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Question: Your uncle had 20 shares of his own company a few years earlier, and now he has 11 of them. What percent of the shares of his company he has now?
Answer: He has 55 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 11 on top. Now we're ready to figure out the part we don't know; the Percent.
11/20 = 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:
11/20 × 100/100 = 55/100
55 = Percent
And that means he has 55 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% / 11
Step 2: Drop the percentage marks to simplify your calculations: 100 / 20 = Y / 11
Step 3: Multiply both sides by 11 to isolate Y on the right side of the equation: 11 ( 100 / 20 ) = Y
Step 4: Computing the left side, we get: 55 = Y
This leaves us with our final answer: 55 percent of 20 is 11
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11/20 as a percent value (as a percentage)?
A fraction consists of two numbers and the fraction bar:
11/20
The number above the fraction bar is the numerator: 11
The number under the fraction bar is the denominator: 20
To get the value of the fraction, divide the numerator by the denominator:
The value = 11 ÷ 20
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% = p/100 = p ÷ 100.
11/20 =
11 ÷ 20 =
0.55
A quick note:
100/100 = 100 ÷ 100 = 100% = 1
Multiply a number by the fraction 100/100,
... and its value doesn't change.
0.55 =
0.55 × 100/100 =
(0.55 × 100)/100 =
55/100 =
55%
1) Calculate the value of the fraction.
2) Multiply this number by 100.
3) Add the percent sign %.
The symbols used: % percent, ÷ division, × multiplication, = the equal sign, / the fraction bar, ≈ approximately the same. Writing numbers: comma ',' - as a thousands separator, point '.' as a decimal mark.
It's very common when learning about fractions to want to know how convert a fraction like 11/20 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 11/20 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 11/20 is 20, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 20 = 5
Once we have that, we can multiple both the numerator and denominator by this multiple:
11 x 5 / 20 x 5 = 55 / 100
Now we can see that our fraction is 55/100, which means that 11/20 as a percentage is 55%.
We can also work this out in a simpler way by first converting the fraction 11/20 to a decimal. To do that, we simply divide the numerator by the denominator:
11/20 = 0.55
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
0.55 x 100 = 55%
And there you have it! Two different ways to convert 11/20 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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- What is 11/21 as a percentage?
11 of 20 is 55%
Steps to solve "what percent is 11 of 20?"
- 11 of 20 can be written as:
11/20 - To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100
11/20 × 100/100
- = (11 × 100/20) × 1/100 = 55/100
- Therefore, the answer is 55%
If you are using a calculator, simply enter 11÷20×100 which will give you 55 as the answer.
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20:11*100 =
( 20*100):11 =
2000:11 = 181.82
Now we have: 20 is what percent of 11 = 181.82
Question: 20 is what percent of 11?
Percentage solution with steps:
Step 1: We make the assumption that 11 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\%}={11}.
Step 4: In the same vein, {x\%}={ 20}.
Step 5: This gives us a pair of simple equations:
{100\%}={11}(1).
{x\%}={ 20}(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{11}{ 20}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{ 20}{11}
\Rightarrow{x} = {181.82\%}
Therefore, { 20} is {181.82\%} of {11}.