107.89 is what percent of 431.54 - 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 431.54 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 431.54, so we can write it down as 100%=431.54.
4. We know, that x% equals 107.89 of the output value, so we can write it down as x%=107.89.
5. Now we have two simple equations:
1) 100%=431.54
2) x%=107.89
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%=431.54/107.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.89 is what percent of 431.54

100%/x%=431.54/107.89
(100/x)*x=(431.54/107.89)*x       - we multiply both sides of the equation by x
100=3.999814626008*x       - we divide both sides of the equation by (3.999814626008) to get x
100/3.999814626008=x
25.001158641146=x
x=25.001158641146

now we have:
107.89 is 25.001158641146% of 431.54