55.74 is what percent of 239.22 - 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 239.22 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 239.22, so we can write it down as 100%=239.22.
4. We know, that x% equals 55.74 of the output value, so we can write it down as x%=55.74.
5. Now we have two simple equations:
1) 100%=239.22
2) x%=55.74
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%=239.22/55.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.74 is what percent of 239.22

100%/x%=239.22/55.74
(100/x)*x=(239.22/55.74)*x       - we multiply both sides of the equation by x
100=4.291711517761*x       - we divide both sides of the equation by (4.291711517761) to get x
100/4.291711517761=x
23.300727363933=x
x=23.300727363933

now we have:
55.74 is 23.300727363933% of 239.22