36.54 is what percent of 293.24 - 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 293.24 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 293.24, so we can write it down as 100%=293.24.
4. We know, that x% equals 36.54 of the output value, so we can write it down as x%=36.54.
5. Now we have two simple equations:
1) 100%=293.24
2) x%=36.54
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%=293.24/36.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.54 is what percent of 293.24

100%/x%=293.24/36.54
(100/x)*x=(293.24/36.54)*x       - we multiply both sides of the equation by x
100=8.0251778872469*x       - we divide both sides of the equation by (8.0251778872469) to get x
100/8.0251778872469=x
12.460782976402=x
x=12.460782976402

now we have:
36.54 is 12.460782976402% of 293.24