What is 2562.5 percent of 2.5 - 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 2.5 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 2.5 is 100%, so we can write it down as 2.5=100%.
4. We know, that x is 2562.5% of the output value, so we can write it down as x=2562.5%.
5. Now we have two simple equations:
1) 2.5=100%
2) x=2562.5%
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:
2.5/x=100%/2562.5%
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 2562.5% of 2.5

2.5/x=100/2562.5
(2.5/x)*x=(100/2562.5)*x       - we multiply both sides of the equation by x
2.5=0.039024390243902*x       - we divide both sides of the equation by (0.039024390243902) to get x
2.5/0.039024390243902=x
64.0625=x
x=64.0625

now we have:
2562.5% of 2.5=64.0625