304.78 is what percent of 1586.54 - 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 1586.54 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 1586.54, so we can write it down as 100%=1586.54.
4. We know, that x% equals 304.78 of the output value, so we can write it down as x%=304.78.
5. Now we have two simple equations:
1) 100%=1586.54
2) x%=304.78
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%=1586.54/304.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 304.78 is what percent of 1586.54

100%/x%=1586.54/304.78
(100/x)*x=(1586.54/304.78)*x       - we multiply both sides of the equation by x
100=5.2055252969355*x       - we divide both sides of the equation by (5.2055252969355) to get x
100/5.2055252969355=x
19.210357129351=x
x=19.210357129351

now we have:
304.78 is 19.210357129351% of 1586.54