3036.96 is what percent of 10388.78 - 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 10388.78 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 10388.78, so we can write it down as 100%=10388.78.
4. We know, that x% equals 3036.96 of the output value, so we can write it down as x%=3036.96.
5. Now we have two simple equations:
1) 100%=10388.78
2) x%=3036.96
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%=10388.78/3036.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3036.96 is what percent of 10388.78

100%/x%=10388.78/3036.96
(100/x)*x=(10388.78/3036.96)*x       - we multiply both sides of the equation by x
100=3.42078262473*x       - we divide both sides of the equation by (3.42078262473) to get x
100/3.42078262473=x
29.233076453636=x
x=29.233076453636

now we have:
3036.96 is 29.233076453636% of 10388.78