125.98 is what percent of 463.5 - 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 463.5 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 463.5, so we can write it down as 100%=463.5.
4. We know, that x% equals 125.98 of the output value, so we can write it down as x%=125.98.
5. Now we have two simple equations:
1) 100%=463.5
2) x%=125.98
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%=463.5/125.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.98 is what percent of 463.5

100%/x%=463.5/125.98
(100/x)*x=(463.5/125.98)*x       - we multiply both sides of the equation by x
100=3.6791554214955*x       - we divide both sides of the equation by (3.6791554214955) to get x
100/3.6791554214955=x
27.180151024811=x
x=27.180151024811

now we have:
125.98 is 27.180151024811% of 463.5