318.5 is what percent of 4903.92 - 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 4903.92 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 4903.92, so we can write it down as 100%=4903.92.
4. We know, that x% equals 318.5 of the output value, so we can write it down as x%=318.5.
5. Now we have two simple equations:
1) 100%=4903.92
2) x%=318.5
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%=4903.92/318.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 318.5 is what percent of 4903.92

100%/x%=4903.92/318.5
(100/x)*x=(4903.92/318.5)*x       - we multiply both sides of the equation by x
100=15.396923076923*x       - we divide both sides of the equation by (15.396923076923) to get x
100/15.396923076923=x
6.4948041566747=x
x=6.4948041566747

now we have:
318.5 is 6.4948041566747% of 4903.92