Question

what percent is 20 of 80

Answer 1

Heya !!

What is meant by Percentage ??

Percentage is a way of showing some data such as marks of a student, etc...It is a fraction in which the numerator may be any number but the denominator must be 100. Percentage consists of a word 'cent', which means 100. Percent means out of 100. To calculate percentage of a number, we multiply it by 100. For example, if a student scores 40 marks out of 50, then, his percentage will be as below:

$\dfrac{40}{50} \times 100 = 80 \%$

Now, lets start with your answer...

$\text{Let x \: \% of 80 be 20.}\\\\\\\text{Now,} \dfrac{x}{100} \times 80 = 20 \\ \\\\\implies x = \dfrac{20 \times 100}{80} = 25.\\\\\\\therefore \boxed{\boxed{\text{ \boxed{ 25 \% } of 80 is 20.}}}$

Hope it helps !!

Answer 2

Heya , Thanks for this Mathematical question.

Let 20 be p% of 80

So, p% of 80 = 20

p/100 * 80 = 20

p * 4/5 = 20

4p = 20*5

4p = 100

p = 25%

Therefore, 25% of 80 is 25 .

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Short method :

If x% of 80 is 20

then, 20/80 * 100 = x

1/4 * 100 = x

25 = x

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Concept :

Percentage means number of parts of a quantity over 100 . Per cent means per hundred ( 1/100 )

Hope helped :)