What is 48.387096774194 percent of 960 - 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 960 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 960 is 100%, so we can write it down as 960=100%.
4. We know, that x is 48.387096774194% of the output value, so we can write it down as x=48.387096774194%.
5. Now we have two simple equations:
1) 960=100%
2) x=48.387096774194%
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:
960/x=100%/48.387096774194%
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 48.387096774194% of 960

960/x=100/48.387096774194
(960/x)*x=(100/48.387096774194)*x       - we multiply both sides of the equation by x
960=2.0666666666666*x       - we divide both sides of the equation by (2.0666666666666) to get x
960/2.0666666666666=x
464.51612903226=x
x=464.51612903226

now we have:
48.387096774194% of 960=464.51612903226