389.44 is what percent of 2095.96 - 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 2095.96 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 2095.96, so we can write it down as 100%=2095.96.
4. We know, that x% equals 389.44 of the output value, so we can write it down as x%=389.44.
5. Now we have two simple equations:
1) 100%=2095.96
2) x%=389.44
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%=2095.96/389.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 389.44 is what percent of 2095.96

100%/x%=2095.96/389.44
(100/x)*x=(2095.96/389.44)*x       - we multiply both sides of the equation by x
100=5.3819843878389*x       - we divide both sides of the equation by (5.3819843878389) to get x
100/5.3819843878389=x
18.580507261589=x
x=18.580507261589

now we have:
389.44 is 18.580507261589% of 2095.96