What is 2.55 percent of 6523.96 - 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 6523.96 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 6523.96 is 100%, so we can write it down as 6523.96=100%.
4. We know, that x is 2.55% of the output value, so we can write it down as x=2.55%.
5. Now we have two simple equations:
1) 6523.96=100%
2) x=2.55%
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:
6523.96/x=100%/2.55%
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 2.55% of 6523.96

6523.96/x=100/2.55
(6523.96/x)*x=(100/2.55)*x       - we multiply both sides of the equation by x
6523.96=39.21568627451*x       - we divide both sides of the equation by (39.21568627451) to get x
6523.96/39.21568627451=x
166.36098=x
x=166.36098

now we have:
2.55% of 6523.96=166.36098