What is 12.72 percent of 757.5 - 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 757.5 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 757.5 is 100%, so we can write it down as 757.5=100%.
4. We know, that x is 12.72% of the output value, so we can write it down as x=12.72%.
5. Now we have two simple equations:
1) 757.5=100%
2) x=12.72%
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:
757.5/x=100%/12.72%
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 12.72% of 757.5

757.5/x=100/12.72
(757.5/x)*x=(100/12.72)*x       - we multiply both sides of the equation by x
757.5=7.8616352201258*x       - we divide both sides of the equation by (7.8616352201258) to get x
757.5/7.8616352201258=x
96.354=x
x=96.354

now we have:
12.72% of 757.5=96.354