503.45 is what percent of 3950 - 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 3950 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 3950, so we can write it down as 100%=3950.
4. We know, that x% equals 503.45 of the output value, so we can write it down as x%=503.45.
5. Now we have two simple equations:
1) 100%=3950
2) x%=503.45
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%=3950/503.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 503.45 is what percent of 3950

100%/x%=3950/503.45
(100/x)*x=(3950/503.45)*x       - we multiply both sides of the equation by x
100=7.8458635415632*x       - we divide both sides of the equation by (7.8458635415632) to get x
100/7.8458635415632=x
12.745569620253=x
x=12.745569620253

now we have:
503.45 is 12.745569620253% of 3950