125.58 is what percent of 485.95 - 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 485.95 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 485.95, so we can write it down as 100%=485.95.
4. We know, that x% equals 125.58 of the output value, so we can write it down as x%=125.58.
5. Now we have two simple equations:
1) 100%=485.95
2) x%=125.58
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%=485.95/125.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.58 is what percent of 485.95

100%/x%=485.95/125.58
(100/x)*x=(485.95/125.58)*x       - we multiply both sides of the equation by x
100=3.8696448479057*x       - we divide both sides of the equation by (3.8696448479057) to get x
100/3.8696448479057=x
25.842164831773=x
x=25.842164831773

now we have:
125.58 is 25.842164831773% of 485.95