4.72 is what percent of 115.31 - 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 115.31 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 115.31, so we can write it down as 100%=115.31.
4. We know, that x% equals 4.72 of the output value, so we can write it down as x%=4.72.
5. Now we have two simple equations:
1) 100%=115.31
2) x%=4.72
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%=115.31/4.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.72 is what percent of 115.31

100%/x%=115.31/4.72
(100/x)*x=(115.31/4.72)*x       - we multiply both sides of the equation by x
100=24.430084745763*x       - we divide both sides of the equation by (24.430084745763) to get x
100/24.430084745763=x
4.0933136761773=x
x=4.0933136761773

now we have:
4.72 is 4.0933136761773% of 115.31