# Express $2.00 as a percentage of$8.00 ?

Mar 9, 2018

25%

#### Explanation:

First let's think about a normal percentage as a ratio.

If I wanted to think about 4% as a ratio I would say well... That's 4 parts of 100% or $\frac{4}{100}$ and from there I could simplify the fraction into $\frac{1}{25}$ and now I have a mathematical representation of 4%. Anything that I multiply by $\frac{1}{25}$ will give me 4% of that thing.

"How does this help me?" you say

Let's think about $8$ as our 100% and we want to find 2 parts of 8, so using what we just learned we say that "2 parts of 8 is the same as $\frac{2}{8}$." To turn $\frac{2}{8}$ into a percentage we just need the denominator to equal 100 since earlier we said that 8 is our 100%

We could use an equation for this, so let's use an equation for this :D

We know that $8 \cdot \left(\text{some number}\right) = 100$ so;
$8 x = 100$

$\frac{1}{8} \cdot 8 x = 100 \cdot \frac{1}{8} = \frac{100}{8} = \frac{25}{2} = 12.5$

Now we know that if we multiply the denominator by 12.5 we will get 100 and if we multiply the numerator by 12.5 we will get a ratio with 100 as the denominator, so our percentage must be the numerator!

2/8*12.5/12.5 = 25/100 = 25%

Mar 9, 2018

25%

#### Explanation:

Given: ($2)/($8)

We have:

(color(red)cancelcolor(black)$2)/(color(red)cancelcolor(black)$8)=1/4

Now, we convert $\frac{1}{4}$ to a percent.

We got:

1/4*100%=25%

:.($2)/($8)=25%