What is 138.1 percent of 48 - 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 48 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 48 is 100%, so we can write it down as 48=100%.
4. We know, that x is 138.1% of the output value, so we can write it down as x=138.1%.
5. Now we have two simple equations:
1) 48=100%
2) x=138.1%
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:
48/x=100%/138.1%
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 138.1% of 48

48/x=100/138.1
(48/x)*x=(100/138.1)*x       - we multiply both sides of the equation by x
48=0.72411296162201*x       - we divide both sides of the equation by (0.72411296162201) to get x
48/0.72411296162201=x
66.288=x
x=66.288

now we have:
138.1% of 48=66.288