387.51 is what percent of 770.8 - 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 770.8 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 770.8, so we can write it down as 100%=770.8.
4. We know, that x% equals 387.51 of the output value, so we can write it down as x%=387.51.
5. Now we have two simple equations:
1) 100%=770.8
2) x%=387.51
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%=770.8/387.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 387.51 is what percent of 770.8

100%/x%=770.8/387.51
(100/x)*x=(770.8/387.51)*x       - we multiply both sides of the equation by x
100=1.9891099584527*x       - we divide both sides of the equation by (1.9891099584527) to get x
100/1.9891099584527=x
50.273741567203=x
x=50.273741567203

now we have:
387.51 is 50.273741567203% of 770.8