# How do you find 25.8% of 4000?

Apr 14, 2018

$a n s w e r = 1032$

#### Explanation:

consider we have to calculate x% of $y$ so the sign of % after x shows that,
x%=x/100
& of represents the multiplication between those two terms, i.e.
x% of y=$\frac{x}{100} \cdot y$
so, a/c to ques.
25.8%of 4000
=$\frac{25.8}{100} \cdot 4000 = 1032$

Apr 14, 2018

#### Explanation:

25.8%of 4000

$= \frac{25.8}{100} \cdot 4000$

$= 1032$

Apr 14, 2018

Rather than just pumping out numbers I have demonstrated some tricks for doing some things in your head. Example: $\times 4 \to$ double and doubled again.

25.8% of 4000 =1032

#### Explanation:

$\textcolor{p u r p \le}{\text{Initial bit of explaining percentage}}$

Basically the symbol % means $\times \frac{1}{100}$ including the multiply 'bit'

So 25.8% ->25.8xx1/100

The mathematical equivalent of the word $\textcolor{red}{\text{of}}$ in 25.8%color(red)(" of ")4000 is multiply. So we end up with:

$\textcolor{b l u e}{25.8 \textcolor{w h i t e}{\text{dd")color(green)(ubrace(%))color(white)("dd")color(red)(ubrace("of"))color(white)("ddd}} 4000}$

$\textcolor{b l u e}{25.8 \textcolor{w h i t e}{\text{d")color(green)(xx1/100)color(white)("d.")color(red)(xx)color(white)("ddd}} 4000}$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{p u r p \le}{\text{Answering the question}}$

$25.8 \times \frac{1}{100} \times 4000 \textcolor{w h i t e}{\text{dddd")->color(white)("dddd}} 25.8 \times {\cancel{4000}}^{40} / {\cancel{100}}^{1}$

$\textcolor{w h i t e}{\text{ddddddddddddddddddd")->color(white)("dddd}} \underbrace{25.8 \times 10} \times 4$

$\textcolor{w h i t e}{\text{ddddddddddddddddddd")->color(white)("dddddd")258color(white)("ddd}} \times 2 \times 2$

$\textcolor{w h i t e}{1} 516$
$\underline{\textcolor{w h i t e}{1} 516 \leftarrow \text{ Add}}$
$1032$