What is 1024 percent of 256 - 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 256 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 256 is 100%, so we can write it down as 256=100%.
4. We know, that x is 1024% of the output value, so we can write it down as x=1024%.
5. Now we have two simple equations:
1) 256=100%
2) x=1024%
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:
256/x=100%/1024%
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 1024% of 256

256/x=100/1024
(256/x)*x=(100/1024)*x       - we multiply both sides of the equation by x
256=0.09765625*x       - we divide both sides of the equation by (0.09765625) to get x
256/0.09765625=x
2621.44=x
x=2621.44

now we have:
1024% of 256=2621.44