705.86 is what percent of 778.88 - 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 778.88 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 778.88, so we can write it down as 100%=778.88.
4. We know, that x% equals 705.86 of the output value, so we can write it down as x%=705.86.
5. Now we have two simple equations:
1) 100%=778.88
2) x%=705.86
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%=778.88/705.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 705.86 is what percent of 778.88

100%/x%=778.88/705.86
(100/x)*x=(778.88/705.86)*x       - we multiply both sides of the equation by x
100=1.1034482758621*x       - we divide both sides of the equation by (1.1034482758621) to get x
100/1.1034482758621=x
90.625=x
x=90.625

now we have:
705.86 is 90.625% of 778.88