380.76 is what percent of 4841 - 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 4841 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 4841, so we can write it down as 100%=4841.
4. We know, that x% equals 380.76 of the output value, so we can write it down as x%=380.76.
5. Now we have two simple equations:
1) 100%=4841
2) x%=380.76
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%=4841/380.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 380.76 is what percent of 4841

100%/x%=4841/380.76
(100/x)*x=(4841/380.76)*x       - we multiply both sides of the equation by x
100=12.714045593024*x       - we divide both sides of the equation by (12.714045593024) to get x
100/12.714045593024=x
7.8653170832473=x
x=7.8653170832473

now we have:
380.76 is 7.8653170832473% of 4841