# What is 108% of 4000?

Aug 5, 2016

$4320$

#### Explanation:

Calculate it exactly as it is written....

108% of 4000 = 108/100 xx4000/1

$= 4320$

An answer of more than 4000 is exactly what we expected because 100% of 4000 is 4000, but we are finding 108% which is more that 4000.

Aug 5, 2016

108% is another way to write $1.08$. So, if you take 108% of $4000$, you multiply $4000$ by $1.08$.

color(blue)(108%xx4000)

$= 1.08 \times 4000$

$= \left(1 + 0.08\right) \times 4000$

$= \left(1 \times 4000\right) + \left(0.08 \times 4000\right)$

$= 4000 + \left(\frac{8}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}} \times 40 \textcolor{red}{\cancel{\textcolor{b l a c k}{00}}}\right)$

$= 4000 + \left(8 \times 40\right)$

$= 4000 + 320 = \textcolor{b l u e}{4320}$