38.71 is what percent of 1548.57 - 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 1548.57 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 1548.57, so we can write it down as 100%=1548.57.
4. We know, that x% equals 38.71 of the output value, so we can write it down as x%=38.71.
5. Now we have two simple equations:
1) 100%=1548.57
2) x%=38.71
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%=1548.57/38.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.71 is what percent of 1548.57

100%/x%=1548.57/38.71
(100/x)*x=(1548.57/38.71)*x       - we multiply both sides of the equation by x
100=40.00439163007*x       - we divide both sides of the equation by (40.00439163007) to get x
100/40.00439163007=x
2.4997255532524=x
x=2.4997255532524

now we have:
38.71 is 2.4997255532524% of 1548.57