48.9 is what percent of 113.85 - 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 113.85 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 113.85, so we can write it down as 100%=113.85.
4. We know, that x% equals 48.9 of the output value, so we can write it down as x%=48.9.
5. Now we have two simple equations:
1) 100%=113.85
2) x%=48.9
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%=113.85/48.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.9 is what percent of 113.85

100%/x%=113.85/48.9
(100/x)*x=(113.85/48.9)*x       - we multiply both sides of the equation by x
100=2.3282208588957*x       - we divide both sides of the equation by (2.3282208588957) to get x
100/2.3282208588957=x
42.951251646904=x
x=42.951251646904

now we have:
48.9 is 42.951251646904% of 113.85