39.49 is what percent of 85.99 - 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 85.99 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 85.99, so we can write it down as 100%=85.99.
4. We know, that x% equals 39.49 of the output value, so we can write it down as x%=39.49.
5. Now we have two simple equations:
1) 100%=85.99
2) x%=39.49
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%=85.99/39.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.49 is what percent of 85.99

100%/x%=85.99/39.49
(100/x)*x=(85.99/39.49)*x       - we multiply both sides of the equation by x
100=2.1775132945049*x       - we divide both sides of the equation by (2.1775132945049) to get x
100/2.1775132945049=x
45.923944644726=x
x=45.923944644726

now we have:
39.49 is 45.923944644726% of 85.99