52.81 is what percent of 293.4 - 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 293.4 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 293.4, so we can write it down as 100%=293.4.
4. We know, that x% equals 52.81 of the output value, so we can write it down as x%=52.81.
5. Now we have two simple equations:
1) 100%=293.4
2) x%=52.81
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%=293.4/52.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.81 is what percent of 293.4

100%/x%=293.4/52.81
(100/x)*x=(293.4/52.81)*x       - we multiply both sides of the equation by x
100=5.5557659534179*x       - we divide both sides of the equation by (5.5557659534179) to get x
100/5.5557659534179=x
17.999318336742=x
x=17.999318336742

now we have:
52.81 is 17.999318336742% of 293.4