48966.96 is what percent of 115149.43 - 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 115149.43 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 115149.43, so we can write it down as 100%=115149.43.
4. We know, that x% equals 48966.96 of the output value, so we can write it down as x%=48966.96.
5. Now we have two simple equations:
1) 100%=115149.43
2) x%=48966.96
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%=115149.43/48966.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48966.96 is what percent of 115149.43

100%/x%=115149.43/48966.96
(100/x)*x=(115149.43/48966.96)*x       - we multiply both sides of the equation by x
100=2.3515740001013*x       - we divide both sides of the equation by (2.3515740001013) to get x
100/2.3515740001013=x
42.524708980322=x
x=42.524708980322

now we have:
48966.96 is 42.524708980322% of 115149.43