31.88 is what percent of 950 - 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 950 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 950, so we can write it down as 100%=950.
4. We know, that x% equals 31.88 of the output value, so we can write it down as x%=31.88.
5. Now we have two simple equations:
1) 100%=950
2) x%=31.88
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%=950/31.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.88 is what percent of 950

100%/x%=950/31.88
(100/x)*x=(950/31.88)*x       - we multiply both sides of the equation by x
100=29.799247176913*x       - we divide both sides of the equation by (29.799247176913) to get x
100/29.799247176913=x
3.3557894736842=x
x=3.3557894736842

now we have:
31.88 is 3.3557894736842% of 950