369.81 is what percent of 2570.75 - 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 2570.75 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 2570.75, so we can write it down as 100%=2570.75.
4. We know, that x% equals 369.81 of the output value, so we can write it down as x%=369.81.
5. Now we have two simple equations:
1) 100%=2570.75
2) x%=369.81
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%=2570.75/369.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 369.81 is what percent of 2570.75

100%/x%=2570.75/369.81
(100/x)*x=(2570.75/369.81)*x       - we multiply both sides of the equation by x
100=6.951542684081*x       - we divide both sides of the equation by (6.951542684081) to get x
100/6.951542684081=x
14.385296119809=x
x=14.385296119809

now we have:
369.81 is 14.385296119809% of 2570.75