169.2 is what percent of 458 - 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 458 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 100% equals 458, so we can write it down as 100%=458.
4. We know, that x% equals 169.2 of the output value, so we can write it down as x%=169.2.
5. Now we have two simple equations:
1) 100%=458
2) x%=169.2
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:
100%/x%=458/169.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 169.2 is what percent of 458

100%/x%=458/169.2
(100/x)*x=(458/169.2)*x       - we multiply both sides of the equation by x
100=2.7068557919622*x       - we divide both sides of the equation by (2.7068557919622) to get x
100/2.7068557919622=x
36.943231441048=x
x=36.943231441048

now we have:
169.2 is 36.943231441048% of 458