What is 48.55 percent of 137.93 - 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 137.93 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 137.93 is 100%, so we can write it down as 137.93=100%.
4. We know, that x is 48.55% of the output value, so we can write it down as x=48.55%.
5. Now we have two simple equations:
1) 137.93=100%
2) x=48.55%
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:
137.93/x=100%/48.55%
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 48.55% of 137.93

137.93/x=100/48.55
(137.93/x)*x=(100/48.55)*x       - we multiply both sides of the equation by x
137.93=2.0597322348095*x       - we divide both sides of the equation by (2.0597322348095) to get x
137.93/2.0597322348095=x
66.965015=x
x=66.965015

now we have:
48.55% of 137.93=66.965015