766.59 is what percent of 4860.78 - 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 4860.78 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 4860.78, so we can write it down as 100%=4860.78.
4. We know, that x% equals 766.59 of the output value, so we can write it down as x%=766.59.
5. Now we have two simple equations:
1) 100%=4860.78
2) x%=766.59
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%=4860.78/766.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 766.59 is what percent of 4860.78

100%/x%=4860.78/766.59
(100/x)*x=(4860.78/766.59)*x       - we multiply both sides of the equation by x
100=6.3407819042774*x       - we divide both sides of the equation by (6.3407819042774) to get x
100/6.3407819042774=x
15.770925653907=x
x=15.770925653907

now we have:
766.59 is 15.770925653907% of 4860.78