What is 13.29 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 13.29% of the output value, so we can write it down as x=13.29%.
5. Now we have two simple equations:
1) 256=100%
2) x=13.29%
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%/13.29%
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 13.29% of 256

256/x=100/13.29
(256/x)*x=(100/13.29)*x       - we multiply both sides of the equation by x
256=7.5244544770504*x       - we divide both sides of the equation by (7.5244544770504) to get x
256/7.5244544770504=x
34.0224=x
x=34.0224

now we have:
13.29% of 256=34.0224