What is 6.4625 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 6.4625% of the output value, so we can write it down as x=6.4625%.
5. Now we have two simple equations:
1) 138.12=100%
2) x=6.4625%
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%/6.4625%
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 6.4625% of 138.12

138.12/x=100/6.4625
(138.12/x)*x=(100/6.4625)*x       - we multiply both sides of the equation by x
138.12=15.473887814313*x       - we divide both sides of the equation by (15.473887814313) to get x
138.12/15.473887814313=x
8.926005=x
x=8.926005

now we have:
6.4625% of 138.12=8.926005