11.25 is what percent of 56.35 - 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 56.35 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 56.35, so we can write it down as 100%=56.35.
4. We know, that x% equals 11.25 of the output value, so we can write it down as x%=11.25.
5. Now we have two simple equations:
1) 100%=56.35
2) x%=11.25
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%=56.35/11.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.25 is what percent of 56.35

100%/x%=56.35/11.25
(100/x)*x=(56.35/11.25)*x       - we multiply both sides of the equation by x
100=5.0088888888889*x       - we divide both sides of the equation by (5.0088888888889) to get x
100/5.0088888888889=x
19.964507542147=x
x=19.964507542147

now we have:
11.25 is 19.964507542147% of 56.35