125.93 is what percent of 315 - 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 315 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 315, so we can write it down as 100%=315.
4. We know, that x% equals 125.93 of the output value, so we can write it down as x%=125.93.
5. Now we have two simple equations:
1) 100%=315
2) x%=125.93
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%=315/125.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.93 is what percent of 315

100%/x%=315/125.93
(100/x)*x=(315/125.93)*x       - we multiply both sides of the equation by x
100=2.5013896609227*x       - we divide both sides of the equation by (2.5013896609227) to get x
100/2.5013896609227=x
39.977777777778=x
x=39.977777777778

now we have:
125.93 is 39.977777777778% of 315