What is 1.25 percent of 4100.625 - 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 4100.625 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 4100.625 is 100%, so we can write it down as 4100.625=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) 4100.625=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:
4100.625/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 4100.625

4100.625/x=100/1.25
(4100.625/x)*x=(100/1.25)*x       - we multiply both sides of the equation by x
4100.625=80*x       - we divide both sides of the equation by (80) to get x
4100.625/80=x
51.2578125=x
x=51.2578125

now we have:
1.25% of 4100.625=51.2578125