160.5 is what percent of 458.6 - 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 458.6 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 458.6, so we can write it down as 100%=458.6.
4. We know, that x% equals 160.5 of the output value, so we can write it down as x%=160.5.
5. Now we have two simple equations:
1) 100%=458.6
2) x%=160.5
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%=458.6/160.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.5 is what percent of 458.6

100%/x%=458.6/160.5
(100/x)*x=(458.6/160.5)*x       - we multiply both sides of the equation by x
100=2.8573208722741*x       - we divide both sides of the equation by (2.8573208722741) to get x
100/2.8573208722741=x
34.997819450502=x
x=34.997819450502

now we have:
160.5 is 34.997819450502% of 458.6