496.81 is what percent of 5208.34 - 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 5208.34 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 5208.34, so we can write it down as 100%=5208.34.
4. We know, that x% equals 496.81 of the output value, so we can write it down as x%=496.81.
5. Now we have two simple equations:
1) 100%=5208.34
2) x%=496.81
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%=5208.34/496.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 496.81 is what percent of 5208.34

100%/x%=5208.34/496.81
(100/x)*x=(5208.34/496.81)*x       - we multiply both sides of the equation by x
100=10.483565145629*x       - we divide both sides of the equation by (10.483565145629) to get x
100/10.483565145629=x
9.5387397904131=x
x=9.5387397904131

now we have:
496.81 is 9.5387397904131% of 5208.34