3787.84 is what percent of 48423.54 - 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 48423.54 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 48423.54, so we can write it down as 100%=48423.54.
4. We know, that x% equals 3787.84 of the output value, so we can write it down as x%=3787.84.
5. Now we have two simple equations:
1) 100%=48423.54
2) x%=3787.84
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%=48423.54/3787.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3787.84 is what percent of 48423.54

100%/x%=48423.54/3787.84
(100/x)*x=(48423.54/3787.84)*x       - we multiply both sides of the equation by x
100=12.783945467602*x       - we divide both sides of the equation by (12.783945467602) to get x
100/12.783945467602=x
7.8223112147522=x
x=7.8223112147522

now we have:
3787.84 is 7.8223112147522% of 48423.54