What is 109.5 percent of 138 - 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 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 is 100%, so we can write it down as 138=100%.
4. We know, that x is 109.5% of the output value, so we can write it down as x=109.5%.
5. Now we have two simple equations:
1) 138=100%
2) x=109.5%
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/x=100%/109.5%
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 109.5% of 138

138/x=100/109.5
(138/x)*x=(100/109.5)*x       - we multiply both sides of the equation by x
138=0.91324200913242*x       - we divide both sides of the equation by (0.91324200913242) to get x
138/0.91324200913242=x
151.11=x
x=151.11

now we have:
109.5% of 138=151.11