What is 48.7 percent of 107.6 - 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 107.6 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 107.6 is 100%, so we can write it down as 107.6=100%.
4. We know, that x is 48.7% of the output value, so we can write it down as x=48.7%.
5. Now we have two simple equations:
1) 107.6=100%
2) x=48.7%
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:
107.6/x=100%/48.7%
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 48.7% of 107.6

107.6/x=100/48.7
(107.6/x)*x=(100/48.7)*x       - we multiply both sides of the equation by x
107.6=2.0533880903491*x       - we divide both sides of the equation by (2.0533880903491) to get x
107.6/2.0533880903491=x
52.4012=x
x=52.4012

now we have:
48.7% of 107.6=52.4012