What is 77.76 percent of 137.39 - 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 137.39 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 137.39 is 100%, so we can write it down as 137.39=100%.
4. We know, that x is 77.76% of the output value, so we can write it down as x=77.76%.
5. Now we have two simple equations:
1) 137.39=100%
2) x=77.76%
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:
137.39/x=100%/77.76%
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 77.76% of 137.39

137.39/x=100/77.76
(137.39/x)*x=(100/77.76)*x       - we multiply both sides of the equation by x
137.39=1.2860082304527*x       - we divide both sides of the equation by (1.2860082304527) to get x
137.39/1.2860082304527=x
106.834464=x
x=106.834464

now we have:
77.76% of 137.39=106.834464