What is 36 percent of 102.56 - 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 102.56 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 102.56 is 100%, so we can write it down as 102.56=100%.
4. We know, that x is 36% of the output value, so we can write it down as x=36%.
5. Now we have two simple equations:
1) 102.56=100%
2) x=36%
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:
102.56/x=100%/36%
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 36% of 102.56

102.56/x=100/36
(102.56/x)*x=(100/36)*x       - we multiply both sides of the equation by x
102.56=2.7777777777778*x       - we divide both sides of the equation by (2.7777777777778) to get x
102.56/2.7777777777778=x
36.9216=x
x=36.9216

now we have:
36% of 102.56=36.9216