2.39 is what percent of 5.47 - 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 5.47 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 5.47, so we can write it down as 100%=5.47.
4. We know, that x% equals 2.39 of the output value, so we can write it down as x%=2.39.
5. Now we have two simple equations:
1) 100%=5.47
2) x%=2.39
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%=5.47/2.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.39 is what percent of 5.47

100%/x%=5.47/2.39
(100/x)*x=(5.47/2.39)*x       - we multiply both sides of the equation by x
100=2.2887029288703*x       - we divide both sides of the equation by (2.2887029288703) to get x
100/2.2887029288703=x
43.692870201097=x
x=43.692870201097

now we have:
2.39 is 43.692870201097% of 5.47