162.5 is what percent of 156935.59 - 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 156935.59 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 156935.59, so we can write it down as 100%=156935.59.
4. We know, that x% equals 162.5 of the output value, so we can write it down as x%=162.5.
5. Now we have two simple equations:
1) 100%=156935.59
2) x%=162.5
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%=156935.59/162.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.5 is what percent of 156935.59

100%/x%=156935.59/162.5
(100/x)*x=(156935.59/162.5)*x       - we multiply both sides of the equation by x
100=965.75747692308*x       - we divide both sides of the equation by (965.75747692308) to get x
100/965.75747692308=x
0.10354566481701=x
x=0.10354566481701

now we have:
162.5 is 0.10354566481701% of 156935.59