What is 2.025 percent of 0.12795 - 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 0.12795 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 0.12795 is 100%, so we can write it down as 0.12795=100%.
4. We know, that x is 2.025% of the output value, so we can write it down as x=2.025%.
5. Now we have two simple equations:
1) 0.12795=100%
2) x=2.025%
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:
0.12795/x=100%/2.025%
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 2.025% of 0.12795

0.12795/x=100/2.025
(0.12795/x)*x=(100/2.025)*x       - we multiply both sides of the equation by x
0.12795=49.382716049383*x       - we divide both sides of the equation by (49.382716049383) to get x
0.12795/49.382716049383=x
0.0025909875=x
x=0.0025909875

now we have:
2.025% of 0.12795=0.0025909875