2.56 is what percent of 32.96 - 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 32.96 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 100% equals 32.96, so we can write it down as 100%=32.96.
4. We know, that x% equals 2.56 of the output value, so we can write it down as x%=2.56.
5. Now we have two simple equations:
1) 100%=32.96
2) x%=2.56
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:
100%/x%=32.96/2.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.56 is what percent of 32.96

100%/x%=32.96/2.56
(100/x)*x=(32.96/2.56)*x       - we multiply both sides of the equation by x
100=12.875*x       - we divide both sides of the equation by (12.875) to get x
100/12.875=x
7.7669902912621=x
x=7.7669902912621

now we have:
2.56 is 7.7669902912621% of 32.96