778.91 is what percent of 1038.5 - 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 1038.5 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 1038.5, so we can write it down as 100%=1038.5.
4. We know, that x% equals 778.91 of the output value, so we can write it down as x%=778.91.
5. Now we have two simple equations:
1) 100%=1038.5
2) x%=778.91
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%=1038.5/778.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 778.91 is what percent of 1038.5

100%/x%=1038.5/778.91
(100/x)*x=(1038.5/778.91)*x       - we multiply both sides of the equation by x
100=1.3332734205492*x       - we divide both sides of the equation by (1.3332734205492) to get x
100/1.3332734205492=x
75.003370245546=x
x=75.003370245546

now we have:
778.91 is 75.003370245546% of 1038.5