557.78 is what percent of 3012 - 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 3012 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 3012, so we can write it down as 100%=3012.
4. We know, that x% equals 557.78 of the output value, so we can write it down as x%=557.78.
5. Now we have two simple equations:
1) 100%=3012
2) x%=557.78
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%=3012/557.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 557.78 is what percent of 3012

100%/x%=3012/557.78
(100/x)*x=(3012/557.78)*x       - we multiply both sides of the equation by x
100=5.3999784861415*x       - we divide both sides of the equation by (5.3999784861415) to get x
100/5.3999784861415=x
18.518592297477=x
x=18.518592297477

now we have:
557.78 is 18.518592297477% of 3012