49.86 is what percent of 318.52 - 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 318.52 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 318.52, so we can write it down as 100%=318.52.
4. We know, that x% equals 49.86 of the output value, so we can write it down as x%=49.86.
5. Now we have two simple equations:
1) 100%=318.52
2) x%=49.86
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%=318.52/49.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.86 is what percent of 318.52

100%/x%=318.52/49.86
(100/x)*x=(318.52/49.86)*x       - we multiply both sides of the equation by x
100=6.3882872041717*x       - we divide both sides of the equation by (6.3882872041717) to get x
100/6.3882872041717=x
15.653648122567=x
x=15.653648122567

now we have:
49.86 is 15.653648122567% of 318.52