38.7 is what percent of 34.1 - 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 34.1 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 34.1, so we can write it down as 100%=34.1.
4. We know, that x% equals 38.7 of the output value, so we can write it down as x%=38.7.
5. Now we have two simple equations:
1) 100%=34.1
2) x%=38.7
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%=34.1/38.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.7 is what percent of 34.1

100%/x%=34.1/38.7
(100/x)*x=(34.1/38.7)*x       - we multiply both sides of the equation by x
100=0.88113695090439*x       - we divide both sides of the equation by (0.88113695090439) to get x
100/0.88113695090439=x
113.48973607038=x
x=113.48973607038

now we have:
38.7 is 113.48973607038% of 34.1