30.31 is what percent of 162.5 - 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 162.5 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 162.5, so we can write it down as 100%=162.5.
4. We know, that x% equals 30.31 of the output value, so we can write it down as x%=30.31.
5. Now we have two simple equations:
1) 100%=162.5
2) x%=30.31
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%=162.5/30.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.31 is what percent of 162.5

100%/x%=162.5/30.31
(100/x)*x=(162.5/30.31)*x       - we multiply both sides of the equation by x
100=5.361266908611*x       - we divide both sides of the equation by (5.361266908611) to get x
100/5.361266908611=x
18.652307692308=x
x=18.652307692308

now we have:
30.31 is 18.652307692308% of 162.5