What is 117.6 percent of 138.4 - 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 138.4 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 138.4 is 100%, so we can write it down as 138.4=100%.
4. We know, that x is 117.6% of the output value, so we can write it down as x=117.6%.
5. Now we have two simple equations:
1) 138.4=100%
2) x=117.6%
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:
138.4/x=100%/117.6%
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 117.6% of 138.4

138.4/x=100/117.6
(138.4/x)*x=(100/117.6)*x       - we multiply both sides of the equation by x
138.4=0.85034013605442*x       - we divide both sides of the equation by (0.85034013605442) to get x
138.4/0.85034013605442=x
162.7584=x
x=162.7584

now we have:
117.6% of 138.4=162.7584