39.59 is what percent of 55 - 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 55 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 55, so we can write it down as 100%=55.
4. We know, that x% equals 39.59 of the output value, so we can write it down as x%=39.59.
5. Now we have two simple equations:
1) 100%=55
2) x%=39.59
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%=55/39.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.59 is what percent of 55

100%/x%=55/39.59
(100/x)*x=(55/39.59)*x       - we multiply both sides of the equation by x
100=1.3892397069967*x       - we divide both sides of the equation by (1.3892397069967) to get x
100/1.3892397069967=x
71.981818181818=x
x=71.981818181818

now we have:
39.59 is 71.981818181818% of 55