36.78 is what percent of 96.75 - 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 96.75 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 96.75, so we can write it down as 100%=96.75.
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%=96.75
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%=96.75/36.78
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 96.75

100%/x%=96.75/36.78
(100/x)*x=(96.75/36.78)*x       - we multiply both sides of the equation by x
100=2.6305057096248*x       - we divide both sides of the equation by (2.6305057096248) to get x
100/2.6305057096248=x
38.015503875969=x
x=38.015503875969

now we have:
36.78 is 38.015503875969% of 96.75