What is 2.48 percent of 10.56 - 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 10.56 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 10.56 is 100%, so we can write it down as 10.56=100%.
4. We know, that x is 2.48% of the output value, so we can write it down as x=2.48%.
5. Now we have two simple equations:
1) 10.56=100%
2) x=2.48%
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:
10.56/x=100%/2.48%
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 2.48% of 10.56

10.56/x=100/2.48
(10.56/x)*x=(100/2.48)*x       - we multiply both sides of the equation by x
10.56=40.322580645161*x       - we divide both sides of the equation by (40.322580645161) to get x
10.56/40.322580645161=x
0.261888=x
x=0.261888

now we have:
2.48% of 10.56=0.261888