18.25 is what percent of 252.06 - 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 252.06 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 252.06, so we can write it down as 100%=252.06.
4. We know, that x% equals 18.25 of the output value, so we can write it down as x%=18.25.
5. Now we have two simple equations:
1) 100%=252.06
2) x%=18.25
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%=252.06/18.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.25 is what percent of 252.06

100%/x%=252.06/18.25
(100/x)*x=(252.06/18.25)*x       - we multiply both sides of the equation by x
100=13.811506849315*x       - we divide both sides of the equation by (13.811506849315) to get x
100/13.811506849315=x
7.2403396016821=x
x=7.2403396016821

now we have:
18.25 is 7.2403396016821% of 252.06