What is 80.75 percent of 1.25 - 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 1.25 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 1.25 is 100%, so we can write it down as 1.25=100%.
4. We know, that x is 80.75% of the output value, so we can write it down as x=80.75%.
5. Now we have two simple equations:
1) 1.25=100%
2) x=80.75%
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:
1.25/x=100%/80.75%
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 80.75% of 1.25

1.25/x=100/80.75
(1.25/x)*x=(100/80.75)*x       - we multiply both sides of the equation by x
1.25=1.2383900928793*x       - we divide both sides of the equation by (1.2383900928793) to get x
1.25/1.2383900928793=x
1.009375=x
x=1.009375

now we have:
80.75% of 1.25=1.009375