39 is what percent of 45.35 - 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 45.35 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 45.35, so we can write it down as 100%=45.35.
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%=45.35
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%=45.35/39
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 45.35

100%/x%=45.35/39
(100/x)*x=(45.35/39)*x       - we multiply both sides of the equation by x
100=1.1628205128205*x       - we divide both sides of the equation by (1.1628205128205) to get x
100/1.1628205128205=x
85.997794928335=x
x=85.997794928335

now we have:
39 is 85.997794928335% of 45.35