What is 29.47 percent of 138.12 - 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 138.12 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 138.12 is 100%, so we can write it down as 138.12=100%.
4. We know, that x is 29.47% of the output value, so we can write it down as x=29.47%.
5. Now we have two simple equations:
1) 138.12=100%
2) x=29.47%
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:
138.12/x=100%/29.47%
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 29.47% of 138.12

138.12/x=100/29.47
(138.12/x)*x=(100/29.47)*x       - we multiply both sides of the equation by x
138.12=3.39328130302*x       - we divide both sides of the equation by (3.39328130302) to get x
138.12/3.39328130302=x
40.703964=x
x=40.703964

now we have:
29.47% of 138.12=40.703964