20.25 is what percent of 112.5 - 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 112.5 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 112.5, so we can write it down as 100%=112.5.
4. We know, that x% equals 20.25 of the output value, so we can write it down as x%=20.25.
5. Now we have two simple equations:
1) 100%=112.5
2) x%=20.25
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%=112.5/20.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.25 is what percent of 112.5

100%/x%=112.5/20.25
(100/x)*x=(112.5/20.25)*x       - we multiply both sides of the equation by x
100=5.5555555555556*x       - we divide both sides of the equation by (5.5555555555556) to get x
100/5.5555555555556=x
18=x
x=18

now we have:
20.25 is 18% of 112.5