12.62 is what percent of 156.35 - 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 156.35 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 156.35, so we can write it down as 100%=156.35.
4. We know, that x% equals 12.62 of the output value, so we can write it down as x%=12.62.
5. Now we have two simple equations:
1) 100%=156.35
2) x%=12.62
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%=156.35/12.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.62 is what percent of 156.35

100%/x%=156.35/12.62
(100/x)*x=(156.35/12.62)*x       - we multiply both sides of the equation by x
100=12.389064976228*x       - we divide both sides of the equation by (12.389064976228) to get x
100/12.389064976228=x
8.0716341541413=x
x=8.0716341541413

now we have:
12.62 is 8.0716341541413% of 156.35