What is 49.375 percent of 260.8 - 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 260.8 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 260.8 is 100%, so we can write it down as 260.8=100%.
4. We know, that x is 49.375% of the output value, so we can write it down as x=49.375%.
5. Now we have two simple equations:
1) 260.8=100%
2) x=49.375%
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:
260.8/x=100%/49.375%
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 49.375% of 260.8

260.8/x=100/49.375
(260.8/x)*x=(100/49.375)*x       - we multiply both sides of the equation by x
260.8=2.0253164556962*x       - we divide both sides of the equation by (2.0253164556962) to get x
260.8/2.0253164556962=x
128.77=x
x=128.77

now we have:
49.375% of 260.8=128.77