125.8 is what percent of 381.4 - 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 381.4 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 381.4, so we can write it down as 100%=381.4.
4. We know, that x% equals 125.8 of the output value, so we can write it down as x%=125.8.
5. Now we have two simple equations:
1) 100%=381.4
2) x%=125.8
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%=381.4/125.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.8 is what percent of 381.4

100%/x%=381.4/125.8
(100/x)*x=(381.4/125.8)*x       - we multiply both sides of the equation by x
100=3.0317965023847*x       - we divide both sides of the equation by (3.0317965023847) to get x
100/3.0317965023847=x
32.983744100682=x
x=32.983744100682

now we have:
125.8 is 32.983744100682% of 381.4