What is 7 percent of 106.766 - 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 106.766 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 106.766 is 100%, so we can write it down as 106.766=100%.
4. We know, that x is 7% of the output value, so we can write it down as x=7%.
5. Now we have two simple equations:
1) 106.766=100%
2) x=7%
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:
106.766/x=100%/7%
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% of 106.766

106.766/x=100/7
(106.766/x)*x=(100/7)*x       - we multiply both sides of the equation by x
106.766=14.285714285714*x       - we divide both sides of the equation by (14.285714285714) to get x
106.766/14.285714285714=x
7.47362=x
x=7.47362

now we have:
7% of 106.766=7.47362