77.69 is what percent of 208.15 - 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 208.15 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 208.15, so we can write it down as 100%=208.15.
4. We know, that x% equals 77.69 of the output value, so we can write it down as x%=77.69.
5. Now we have two simple equations:
1) 100%=208.15
2) x%=77.69
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%=208.15/77.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.69 is what percent of 208.15

100%/x%=208.15/77.69
(100/x)*x=(208.15/77.69)*x       - we multiply both sides of the equation by x
100=2.6792379971682*x       - we divide both sides of the equation by (2.6792379971682) to get x
100/2.6792379971682=x
37.324045159741=x
x=37.324045159741

now we have:
77.69 is 37.324045159741% of 208.15