# What is 160% of 80?

Mar 13, 2018

$128$

#### Explanation:

1. We assume that the number $80$ is 100% because it's the output value of the task.
2. We assume that $x$ is the value we are looking for.
3. If $80$ is 100%, we can write it down as 80=100%.
4. We know that $x$ is 160% of the output value, so we can write it down as x=160%.
5. Now we have two simple equations:
1)" " 80=100%
2) " "x=160%
where the left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
80/x = (100%)/(160%)
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. The solution for what is 160% of $80$.

$\frac{80}{x} = \frac{100}{160}$

$\left(\frac{80}{x}\right) \cdot x = \left(\frac{100}{160}\right) \cdot x \text{ } \to$we multiply both sides of the equation by $x$

$80 = 0.625 \cdot x \text{ } \to$ we divide both sides of the equation by $0.625$ to get $x$

$\frac{80}{0.625} = x$

$128 = x$

$x = 128$

Now we have:

$\text{160% of 80 = 128}$