What is a 33 out of 40

33 percent *40

= (33/100)*40

= (33*40)/100

= 1320/100 = 13.2

Now we have: 33 percent of 40 = 13.2

Question: What is 33 percent of 40?

We need to determine 33% of 40 now and the procedure explaining it as such

Step 1: In the given case Output Value is 40.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 40 = 100%.

Step 4: In the Same way, x = 33%.

Step 5: On dividing the pair of simple equations we got the equation as under

40 = 100% (1).

x = 33% (2).

(40%)/(x%) = 100/33

Step 6: Reciprocal of both the sides results in the following equation

x%/40% = 33/100

Step 7: Simplifying the above obtained equation further will tell what is 33% of 40

x = 13.2%

Therefore, 33% of 40 is 13.2

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33/40 as a percent value (as a percentage)?

A fraction consists of two numbers and the fraction bar:

33/40

The number above the fraction bar is the numerator: 33

The number under the fraction bar is the denominator: 40

To get the value of the fraction, divide the numerator by the denominator:

The value = 33 ÷ 40

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% = p/100 = p ÷ 100.

33/40 =

33 ÷ 40 =

0.825

A quick note:

100/100 = 100 ÷ 100 = 100% = 1

Multiply a number by the fraction 100/100,
... and its value doesn't change.

0.825 =

0.825 × 100/100 =

(0.825 × 100)/100 =

82.5/100 =

82.5%

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 33/40 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 33/40 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 33/40 is 40, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 40 = 2.5

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

33 x 2.5 / 40 x 2.5 = 82.5 / 100

Now we can see that our fraction is 82.5/100, which means that 33/40 as a percentage is 82.5%.

We can also work this out in a simpler way by first converting the fraction 33/40 to a decimal. To do that, we simply divide the numerator by the denominator:

33/40 = 0.825

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

0.825 x 100 = 82.5%

And there you have it! Two different ways to convert 33/40 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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Fraction to Percentage Calculator

Next Fraction to Percentage Calculation

• What is 33/41 as a percentage?

33:40*100 =

(33*100):40 =

3300:40 = 82.5

Now we have: 33 is what percent of 40 = 82.5

Question: 33 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={33}.

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

{100\%}={40}(1).

{x\%}={33}(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{40}{33}

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

\frac{x\%}{100\%}=\frac{33}{40}

\Rightarrow{x} = {82.5\%}

Therefore, {33} is {82.5\%} of {40}.

Solution and how to convert 33 / 40 into a percentage

• Home
• Percentages
• What is 33/40 as 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 33 / 40 = 82.5% :

• Step 1: Divide 33 by 40 to get the number as a decimal. 33 / 40 = 0.82
• Step 2: Multiply 0.82 by 100. 0.82 times 100 = 82.5. That's all there is to it!

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 33 / 40 into a percentage or decimal

Find the Denominator

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

If the original denominator is 40, we need to solve for how we can make the denominator 100.

To convert this fraction, we would divide 100 by 40, which gives us 2.5.

Find the Numerator

Now, we multiply 2.5 by 33, our original numerator, which is equal to 82.5

Convert your Fraction to a Percent

Remember, a percentage is any number out of 100. If we can balance 33 / 40 with a new denominator of 100, we can find the percentage of that fraction!

Help your students convert 33 / 40 through further understanding:

• What is the numerator of 33 / 40?
• What is the denominator of 33 / 40?
• When would you use 33 / 40 as a fraction? Give examples
• When would you use 33 / 40 as a decimal? Give examples
• When would you use 33 / 40 as a percentage? Give examples
• What are three other fractions that convert to 82.5%?
• Ask your students to think of three real life examples of when to use fractions vs percentages.
• Which fraction is larger: 33 / 40 or 43 / 217?