What is 39.6 percent of 138.3 - 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 138.3 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 138.3 is 100%, so we can write it down as 138.3=100%.
4. We know, that x is 39.6% of the output value, so we can write it down as x=39.6%.
5. Now we have two simple equations:
1) 138.3=100%
2) x=39.6%
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:
138.3/x=100%/39.6%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 39.6% of 138.3

138.3/x=100/39.6
(138.3/x)*x=(100/39.6)*x       - we multiply both sides of the equation by x
138.3=2.5252525252525*x       - we divide both sides of the equation by (2.5252525252525) to get x
138.3/2.5252525252525=x
54.7668=x
x=54.7668

now we have:
39.6% of 138.3=54.7668