76.08 is what percent of 196.82 - 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 196.82 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 196.82, so we can write it down as 100%=196.82.
4. We know, that x% equals 76.08 of the output value, so we can write it down as x%=76.08.
5. Now we have two simple equations:
1) 100%=196.82
2) x%=76.08
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%=196.82/76.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.08 is what percent of 196.82

100%/x%=196.82/76.08
(100/x)*x=(196.82/76.08)*x       - we multiply both sides of the equation by x
100=2.5870136698212*x       - we divide both sides of the equation by (2.5870136698212) to get x
100/2.5870136698212=x
38.654608271517=x
x=38.654608271517

now we have:
76.08 is 38.654608271517% of 196.82