36.79 is what percent of 7390.39 - 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 7390.39 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 7390.39, so we can write it down as 100%=7390.39.
4. We know, that x% equals 36.79 of the output value, so we can write it down as x%=36.79.
5. Now we have two simple equations:
1) 100%=7390.39
2) x%=36.79
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%=7390.39/36.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.79 is what percent of 7390.39

100%/x%=7390.39/36.79
(100/x)*x=(7390.39/36.79)*x       - we multiply both sides of the equation by x
100=200.88040228323*x       - we divide both sides of the equation by (200.88040228323) to get x
100/200.88040228323=x
0.49780864068067=x
x=0.49780864068067

now we have:
36.79 is 0.49780864068067% of 7390.39