293.52 is what percent of 367.15 - 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 367.15 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 367.15, so we can write it down as 100%=367.15.
4. We know, that x% equals 293.52 of the output value, so we can write it down as x%=293.52.
5. Now we have two simple equations:
1) 100%=367.15
2) x%=293.52
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%=367.15/293.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 293.52 is what percent of 367.15

100%/x%=367.15/293.52
(100/x)*x=(367.15/293.52)*x       - we multiply both sides of the equation by x
100=1.2508517307168*x       - we divide both sides of the equation by (1.2508517307168) to get x
100/1.2508517307168=x
79.945526351627=x
x=79.945526351627

now we have:
293.52 is 79.945526351627% of 367.15