What is 83 percent of 137.8 - 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 137.8 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 137.8 is 100%, so we can write it down as 137.8=100%.
4. We know, that x is 83% of the output value, so we can write it down as x=83%.
5. Now we have two simple equations:
1) 137.8=100%
2) x=83%
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:
137.8/x=100%/83%
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 83% of 137.8

137.8/x=100/83
(137.8/x)*x=(100/83)*x       - we multiply both sides of the equation by x
137.8=1.2048192771084*x       - we divide both sides of the equation by (1.2048192771084) to get x
137.8/1.2048192771084=x
114.374=x
x=114.374

now we have:
83% of 137.8=114.374