What is 102.64 percent of 100 - 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 100 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 is 100%, so we can write it down as 100=100%.
4. We know, that x is 102.64% of the output value, so we can write it down as x=102.64%.
5. Now we have two simple equations:
1) 100=100%
2) x=102.64%
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=100%/102.64%
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 102.64% of 100

100/x=100/102.64
(100/x)*x=(100/102.64)*x       - we multiply both sides of the equation by x
100=0.9742790335152*x       - we divide both sides of the equation by (0.9742790335152) to get x
100/0.9742790335152=x
102.64=x
x=102.64

now we have:
102.64% of 100=102.64