57.86 is what percent of 304.5 - 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 304.5 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 304.5, so we can write it down as 100%=304.5.
4. We know, that x% equals 57.86 of the output value, so we can write it down as x%=57.86.
5. Now we have two simple equations:
1) 100%=304.5
2) x%=57.86
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%=304.5/57.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.86 is what percent of 304.5

100%/x%=304.5/57.86
(100/x)*x=(304.5/57.86)*x       - we multiply both sides of the equation by x
100=5.2627030763913*x       - we divide both sides of the equation by (5.2627030763913) to get x
100/5.2627030763913=x
19.001642036125=x
x=19.001642036125

now we have:
57.86 is 19.001642036125% of 304.5