What is 1.25 percent of 1.0025 - 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 1.0025 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 1.0025 is 100%, so we can write it down as 1.0025=100%.
4. We know, that x is 1.25% of the output value, so we can write it down as x=1.25%.
5. Now we have two simple equations:
1) 1.0025=100%
2) x=1.25%
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:
1.0025/x=100%/1.25%
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 1.25% of 1.0025

1.0025/x=100/1.25
(1.0025/x)*x=(100/1.25)*x       - we multiply both sides of the equation by x
1.0025=80*x       - we divide both sides of the equation by (80) to get x
1.0025/80=x
0.01253125=x
x=0.01253125

now we have:
1.25% of 1.0025=0.01253125