130.38 is what percent of 66.25 - 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 66.25 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 66.25, so we can write it down as 100%=66.25.
4. We know, that x% equals 130.38 of the output value, so we can write it down as x%=130.38.
5. Now we have two simple equations:
1) 100%=66.25
2) x%=130.38
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%=66.25/130.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.38 is what percent of 66.25

100%/x%=66.25/130.38
(100/x)*x=(66.25/130.38)*x       - we multiply both sides of the equation by x
100=0.50813008130081*x       - we divide both sides of the equation by (0.50813008130081) to get x
100/0.50813008130081=x
196.8=x
x=196.8

now we have:
130.38 is 196.8% of 66.25