777.88 is what percent of 856 - 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 856 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 856, so we can write it down as 100%=856.
4. We know, that x% equals 777.88 of the output value, so we can write it down as x%=777.88.
5. Now we have two simple equations:
1) 100%=856
2) x%=777.88
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%=856/777.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 777.88 is what percent of 856

100%/x%=856/777.88
(100/x)*x=(856/777.88)*x       - we multiply both sides of the equation by x
100=1.100426801049*x       - we divide both sides of the equation by (1.100426801049) to get x
100/1.100426801049=x
90.873831775701=x
x=90.873831775701

now we have:
777.88 is 90.873831775701% of 856