What is 1.25 percent of 101.25 - 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 101.25 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 101.25 is 100%, so we can write it down as 101.25=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) 101.25=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:
101.25/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 101.25

101.25/x=100/1.25
(101.25/x)*x=(100/1.25)*x       - we multiply both sides of the equation by x
101.25=80*x       - we divide both sides of the equation by (80) to get x
101.25/80=x
1.265625=x
x=1.265625

now we have:
1.25% of 101.25=1.265625