36.78 is what percent of 461.54 - 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 461.54 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 461.54, so we can write it down as 100%=461.54.
4. We know, that x% equals 36.78 of the output value, so we can write it down as x%=36.78.
5. Now we have two simple equations:
1) 100%=461.54
2) x%=36.78
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%=461.54/36.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.78 is what percent of 461.54

100%/x%=461.54/36.78
(100/x)*x=(461.54/36.78)*x       - we multiply both sides of the equation by x
100=12.548667754214*x       - we divide both sides of the equation by (12.548667754214) to get x
100/12.548667754214=x
7.9689734367552=x
x=7.9689734367552

now we have:
36.78 is 7.9689734367552% of 461.54