What is 7.86 percent of 76 - 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 76 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 76 is 100%, so we can write it down as 76=100%.
4. We know, that x is 7.86% of the output value, so we can write it down as x=7.86%.
5. Now we have two simple equations:
1) 76=100%
2) x=7.86%
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:
76/x=100%/7.86%
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 7.86% of 76

76/x=100/7.86
(76/x)*x=(100/7.86)*x       - we multiply both sides of the equation by x
76=12.722646310433*x       - we divide both sides of the equation by (12.722646310433) to get x
76/12.722646310433=x
5.9736=x
x=5.9736

now we have:
7.86% of 76=5.9736