778.63 is what percent of 1497.25 - 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 1497.25 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 1497.25, so we can write it down as 100%=1497.25.
4. We know, that x% equals 778.63 of the output value, so we can write it down as x%=778.63.
5. Now we have two simple equations:
1) 100%=1497.25
2) x%=778.63
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%=1497.25/778.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 778.63 is what percent of 1497.25

100%/x%=1497.25/778.63
(100/x)*x=(1497.25/778.63)*x       - we multiply both sides of the equation by x
100=1.9229287338017*x       - we divide both sides of the equation by (1.9229287338017) to get x
100/1.9229287338017=x
52.004007346802=x
x=52.004007346802

now we have:
778.63 is 52.004007346802% of 1497.25