0.39 is what percent of 2.33 - 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 2.33 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 2.33, so we can write it down as 100%=2.33.
4. We know, that x% equals 0.39 of the output value, so we can write it down as x%=0.39.
5. Now we have two simple equations:
1) 100%=2.33
2) x%=0.39
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%=2.33/0.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.39 is what percent of 2.33

100%/x%=2.33/0.39
(100/x)*x=(2.33/0.39)*x       - we multiply both sides of the equation by x
100=5.974358974359*x       - we divide both sides of the equation by (5.974358974359) to get x
100/5.974358974359=x
16.738197424893=x
x=16.738197424893

now we have:
0.39 is 16.738197424893% of 2.33