What percentage is 13 out of 20

Solution and how to convert 13 / 20 into a percentage

Fraction to Percent Conversion Summary

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 13 / 20 = 65% :

• Step 1: Divide 13 by 20 to get the number as a decimal. 13 / 20 = 0.65
• Step 2: Multiply 0.65 by 100. 0.65 times 100 = 65. 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 13 / 20 into a percentage or decimal

Fraction Conversion Table

Find the Denominator

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

If the original denominator is 20, we need to solve for how we can make the denominator 100.

To convert this fraction, we would divide 100 by 20, which gives us 5.

Find the Numerator

Now, we multiply 5 by 13, our original numerator, which is equal to 65

Convert your Fraction to a Percent

Remember, a percentage is any number out of 100. If we can balance 13 / 20 with a new denominator of 100, we can find the percentage of that fraction!

Help your students convert 13 / 20 through further understanding:

• What is the numerator of 13 / 20?
• What is the denominator of 13 / 20?
• When would you use 13 / 20 as a fraction? Give examples
• When would you use 13 / 20 as a decimal? Give examples
• When would you use 13 / 20 as a percentage? Give examples
• What are three other fractions that convert to 65%?
• Ask your students to think of three real life examples of when to use fractions vs percentages.
• Which fraction is larger: 13 / 20 or 134 / 41?

The below step by step work shows how to find what is 13/20 as a percentage. The relative and base quantity in the 13 of 20 percentage calculation should be of something (mark, speed, mass, rate, etc.) in same kind or units.
Question
What percent is 13 out of 20?

step 1 Address the input parameters and observe what to be found:
Input values:
Relative Quantity = 13
Base Quantity = 20what to be found:
Find 13/20 as a percentage.

step 2 Write the percentage equation and apply the corresponding values:
Percentage = Relative Quantity/Base Quantity x 100
= 13/20 x 100

step 3 Write 13/20 as a decimal in the above equation and solve further:
= 13/20 x 100
= 0.65 x 100
= 65
13/20 x 100 = 65%

Hence,
13 is 65% of 20

Menu

• p% of A = ?
• p% of ? = A
• ?% of A = B
• fractions a/b = ?%
• relative change
• p% = ? number
• (1 + p%) × n
• (1 - p%) × n

13/20 as a percent value (as a percentage)

Detailed calculations below

Fractions: brief introduction

A fraction consists of two numbers and the fraction bar:

13/20

The number above the fraction bar is the numerator: 13

The number under the fraction bar is the denominator: 20

To get the fraction's value, divide the numerator by the denominator:

The value = 13 ÷ 20

Percent, p%: short introduction

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

p% = p 'out of one hundred',

p% = p/100 = p ÷ 100.

How to convert a fraction to a percentage:

1) Calculate the value of the fraction.

2) Multiply this number by 100.

3) Add the percent sign %

Convert the fraction to a percentage

1. Calculate the value of the fraction:

To get the fraction's value, divide the numerator by the denominator:

13/20 =

13 ÷ 20 =

0.65

A quick note:

100/100 = 100 ÷ 100 = 100% = 1

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

n × 100/100 = n × 1 = n, any number n

2. The calculation of the percentage:

0.65 =

0.65 × 100/100 =

(0.65 × 100)/100 =

65/100 =

65%

The answer:

13/20 = 65% Divide the numerator by the denominator + multiply the result by 100 + 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.

The latest 5 numbers, fractions or ratios converted to percentages

Online calculator: convert integer or decimal numbers, fractions, ratios and proportions to percentages

Converting integer or decimal numbers, fractions, proportions and ratios to percentages

It's very simple to write a fraction (a proportion or a ratio) or a decimal number as a percentage.

To convert a fraction:

• - start by dividing the numerator by the denominator
• - then multiply the result by 100%
• By multiplying the result by 100% the value we've got at the previous step is not modified, since 100% = 100/100 = 1
• By multiplying by 100% only the form is being changed - it's written as a percentage.

It's even simpler to write an integer or decimal number as a percentage:

• - simply multiply the number by 100%

Examples

• 1/4 = 0.25 = 0.25 × 100% = (0.25 × 100)% = 25%;
• 7/8 = 0.875 = 0.875 × 100% = (0.875 × 100)% = 87.5%
• 1.3/9.4 ≈ 0.138297 = 0.138297 × 100% = (0.138297 × 100)% = 13.8297%
• 4.3 = 4.3 × 100% = (4.3 × 100)% = 430%;

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