496.78 is what percent of 2979.38 - 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 2979.38 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 2979.38, so we can write it down as 100%=2979.38.
4. We know, that x% equals 496.78 of the output value, so we can write it down as x%=496.78.
5. Now we have two simple equations:
1) 100%=2979.38
2) x%=496.78
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%=2979.38/496.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 496.78 is what percent of 2979.38

100%/x%=2979.38/496.78
(100/x)*x=(2979.38/496.78)*x       - we multiply both sides of the equation by x
100=5.9973831474697*x       - we divide both sides of the equation by (5.9973831474697) to get x
100/5.9973831474697=x
16.673938873188=x
x=16.673938873188

now we have:
496.78 is 16.673938873188% of 2979.38