767.86 is what percent of 2439.88 - 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 2439.88 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 2439.88, so we can write it down as 100%=2439.88.
4. We know, that x% equals 767.86 of the output value, so we can write it down as x%=767.86.
5. Now we have two simple equations:
1) 100%=2439.88
2) x%=767.86
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%=2439.88/767.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 767.86 is what percent of 2439.88

100%/x%=2439.88/767.86
(100/x)*x=(2439.88/767.86)*x       - we multiply both sides of the equation by x
100=3.1775063162556*x       - we divide both sides of the equation by (3.1775063162556) to get x
100/3.1775063162556=x
31.47121989606=x
x=31.47121989606

now we have:
767.86 is 31.47121989606% of 2439.88