What is 81.25 percent of 122.5 - 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 122.5 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 122.5 is 100%, so we can write it down as 122.5=100%.
4. We know, that x is 81.25% of the output value, so we can write it down as x=81.25%.
5. Now we have two simple equations:
1) 122.5=100%
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:
122.5/x=100%/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 what is 81.25% of 122.5

122.5/x=100/81.25
(122.5/x)*x=(100/81.25)*x       - we multiply both sides of the equation by x
122.5=1.2307692307692*x       - we divide both sides of the equation by (1.2307692307692) to get x
122.5/1.2307692307692=x
99.53125=x
x=99.53125

now we have:
81.25% of 122.5=99.53125