# What percent of 25 is 5?

P=5/25=1/5=0.2=20%

#### Explanation:

Ok - these always need a bit of a read to make sure we're answering the right thing.

"What percent..." asks us for a percentage. Ok - good.

"...of 25..." asks us to take the number (25) and multiply it by the percentage we're going to find.

"...is 5" tells us what the answer we're looking for is. So we have:

$25 \times P = 5$ - 25 times some percentage equals 5.

We can treat P as a variable and so can divide both sides by 25:

P=5/25=1/5=0.2=20%

Oct 4, 2016

20%

#### Explanation:

Percent can be written as: $\frac{\text{some number}}{100}$

For example 3% would be $\frac{3}{100}$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Write the given values in the question as a fraction

$\text{ } \frac{5}{25}$
$\textcolor{w h i t e}{}$

But percent is $\frac{\text{something}}{100}$ so we need to change the 25 in $\frac{5}{25}$ into 100.

$\textcolor{w h i t e}{}$

Multiply by 1 and you do not change the intrinsic value. However, 1 comes in many forms.

$\textcolor{w h i t e}{}$

Multiply $\frac{5}{25}$ by 1 but in the form of $1 = \frac{4}{4}$ giving:

$\text{ "5/25color(magenta)(xx1)" " =" " 5/25color(magenta)(xx4/4)" "=" } \frac{20}{100}$

$\textcolor{w h i t e}{}$

color(blue)("So "5/25" may be written as "20%

Oct 4, 2016

2/25 =1/5= 0.2 =20%

#### Explanation:

It might help to write the question a little differently.

What percent is $5 \text{ out of } 25$?

$\frac{5}{25} = \frac{1}{5}$ already represents the decimal $0.2$.

However to get it into percentage format, multiply by 100%.

Note that xx 100% =xx 100/100  which is the same as a multiplication by $1$, so we do not change the value, only what it looks like.

5/25 xx100%

=20%

Fractions, decimals and percent are all different ways of writing the same quantity and they are inter-changeable.

We could also change $\frac{5}{25}$ into a fraction with a denominator of $100$

5/25 xx 4/4 = 20/100 = 20%

Jun 11, 2017

20%

#### Explanation:

Simplifying this simple calculation...

5/25xx100% = 0.2xx100%=20%

Jun 11, 2017

5/25=1/5=0.2=20%