What is 7.725 percent of 1055.11 - 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 1055.11 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 1055.11 is 100%, so we can write it down as 1055.11=100%.
4. We know, that x is 7.725% of the output value, so we can write it down as x=7.725%.
5. Now we have two simple equations:
1) 1055.11=100%
2) x=7.725%
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:
1055.11/x=100%/7.725%
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 7.725% of 1055.11

1055.11/x=100/7.725
(1055.11/x)*x=(100/7.725)*x       - we multiply both sides of the equation by x
1055.11=12.94498381877*x       - we divide both sides of the equation by (12.94498381877) to get x
1055.11/12.94498381877=x
81.5072475=x
x=81.5072475

now we have:
7.725% of 1055.11=81.5072475