81.25 is what percent of 10 - 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 10 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 100% equals 10, so we can write it down as 100%=10.
4. We know, that x% equals 81.25 of the output value, so we can write it down as x%=81.25.
5. Now we have two simple equations:
1) 100%=10
2) x%=81.25
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:
100%/x%=10/81.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 81.25 is what percent of 10

100%/x%=10/81.25
(100/x)*x=(10/81.25)*x       - we multiply both sides of the equation by x
100=0.12307692307692*x       - we divide both sides of the equation by (0.12307692307692) to get x
100/0.12307692307692=x
812.5=x
x=812.5

now we have:
81.25 is 812.5% of 10