What is 45.6 percent of 258.167 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 258.167 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 258.167 is 100%, so we can write it down as 258.167=100%.
4. We know, that x is 45.6% of the output value, so we can write it down as x=45.6%.
5. Now we have two simple equations:
1) 258.167=100%
2) x=45.6%
where 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:
258.167/x=100%/45.6%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 45.6% of 258.167

258.167/x=100/45.6
(258.167/x)*x=(100/45.6)*x       - we multiply both sides of the equation by x
258.167=2.1929824561404*x       - we divide both sides of the equation by (2.1929824561404) to get x
258.167/2.1929824561404=x
117.724152=x
x=117.724152

now we have:
45.6% of 258.167=117.724152