39 is what percent of 99.95 - 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 99.95 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 99.95, so we can write it down as 100%=99.95.
4. We know, that x% equals 39 of the output value, so we can write it down as x%=39.
5. Now we have two simple equations:
1) 100%=99.95
2) x%=39
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%=99.95/39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39 is what percent of 99.95

100%/x%=99.95/39
(100/x)*x=(99.95/39)*x       - we multiply both sides of the equation by x
100=2.5628205128205*x       - we divide both sides of the equation by (2.5628205128205) to get x
100/2.5628205128205=x
39.019509754877=x
x=39.019509754877

now we have:
39 is 39.019509754877% of 99.95