36.24 is what percent of 68.44 - 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 68.44 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 68.44, so we can write it down as 100%=68.44.
4. We know, that x% equals 36.24 of the output value, so we can write it down as x%=36.24.
5. Now we have two simple equations:
1) 100%=68.44
2) x%=36.24
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%=68.44/36.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.24 is what percent of 68.44

100%/x%=68.44/36.24
(100/x)*x=(68.44/36.24)*x       - we multiply both sides of the equation by x
100=1.8885209713024*x       - we divide both sides of the equation by (1.8885209713024) to get x
100/1.8885209713024=x
52.951490356517=x
x=52.951490356517

now we have:
36.24 is 52.951490356517% of 68.44