244.29 is what percent of 4038.47 - 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 4038.47 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 4038.47, so we can write it down as 100%=4038.47.
4. We know, that x% equals 244.29 of the output value, so we can write it down as x%=244.29.
5. Now we have two simple equations:
1) 100%=4038.47
2) x%=244.29
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%=4038.47/244.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 244.29 is what percent of 4038.47

100%/x%=4038.47/244.29
(100/x)*x=(4038.47/244.29)*x       - we multiply both sides of the equation by x
100=16.531458512424*x       - we divide both sides of the equation by (16.531458512424) to get x
100/16.531458512424=x
6.0490730400374=x
x=6.0490730400374

now we have:
244.29 is 6.0490730400374% of 4038.47