76.75 is what percent of 308.745 - 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 308.745 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 308.745, so we can write it down as 100%=308.745.
4. We know, that x% equals 76.75 of the output value, so we can write it down as x%=76.75.
5. Now we have two simple equations:
1) 100%=308.745
2) x%=76.75
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%=308.745/76.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.75 is what percent of 308.745

100%/x%=308.745/76.75
(100/x)*x=(308.745/76.75)*x       - we multiply both sides of the equation by x
100=4.0227361563518*x       - we divide both sides of the equation by (4.0227361563518) to get x
100/4.0227361563518=x
24.858702165217=x
x=24.858702165217

now we have:
76.75 is 24.858702165217% of 308.745