286.8 is what percent of 389.93 - 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 389.93 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 389.93, so we can write it down as 100%=389.93.
4. We know, that x% equals 286.8 of the output value, so we can write it down as x%=286.8.
5. Now we have two simple equations:
1) 100%=389.93
2) x%=286.8
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%=389.93/286.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 286.8 is what percent of 389.93

100%/x%=389.93/286.8
(100/x)*x=(389.93/286.8)*x       - we multiply both sides of the equation by x
100=1.3595885634589*x       - we divide both sides of the equation by (1.3595885634589) to get x
100/1.3595885634589=x
73.551663119021=x
x=73.551663119021

now we have:
286.8 is 73.551663119021% of 389.93