What is 2.4 percent of 1048.576 - 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 1048.576 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 1048.576 is 100%, so we can write it down as 1048.576=100%.
4. We know, that x is 2.4% of the output value, so we can write it down as x=2.4%.
5. Now we have two simple equations:
1) 1048.576=100%
2) x=2.4%
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:
1048.576/x=100%/2.4%
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 2.4% of 1048.576

1048.576/x=100/2.4
(1048.576/x)*x=(100/2.4)*x       - we multiply both sides of the equation by x
1048.576=41.666666666667*x       - we divide both sides of the equation by (41.666666666667) to get x
1048.576/41.666666666667=x
25.165824=x
x=25.165824

now we have:
2.4% of 1048.576=25.165824