What is 12.766 percent of 748 - 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 748 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 748 is 100%, so we can write it down as 748=100%.
4. We know, that x is 12.766% of the output value, so we can write it down as x=12.766%.
5. Now we have two simple equations:
1) 748=100%
2) x=12.766%
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:
748/x=100%/12.766%
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 12.766% of 748

748/x=100/12.766
(748/x)*x=(100/12.766)*x       - we multiply both sides of the equation by x
748=7.8333072223093*x       - we divide both sides of the equation by (7.8333072223093) to get x
748/7.8333072223093=x
95.48968=x
x=95.48968

now we have:
12.766% of 748=95.48968