What is 115.15 percent of 137.25 - 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 137.25 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 137.25 is 100%, so we can write it down as 137.25=100%.
4. We know, that x is 115.15% of the output value, so we can write it down as x=115.15%.
5. Now we have two simple equations:
1) 137.25=100%
2) x=115.15%
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:
137.25/x=100%/115.15%
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 115.15% of 137.25

137.25/x=100/115.15
(137.25/x)*x=(100/115.15)*x       - we multiply both sides of the equation by x
137.25=0.86843247937473*x       - we divide both sides of the equation by (0.86843247937473) to get x
137.25/0.86843247937473=x
158.043375=x
x=158.043375

now we have:
115.15% of 137.25=158.043375