389.72 is what percent of 4882.88 - 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 4882.88 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 4882.88, so we can write it down as 100%=4882.88.
4. We know, that x% equals 389.72 of the output value, so we can write it down as x%=389.72.
5. Now we have two simple equations:
1) 100%=4882.88
2) x%=389.72
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%=4882.88/389.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 389.72 is what percent of 4882.88

100%/x%=4882.88/389.72
(100/x)*x=(4882.88/389.72)*x       - we multiply both sides of the equation by x
100=12.529200451606*x       - we divide both sides of the equation by (12.529200451606) to get x
100/12.529200451606=x
7.9813552657448=x
x=7.9813552657448

now we have:
389.72 is 7.9813552657448% of 4882.88