What is 6.625 percent of 11.738 - 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 11.738 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 11.738 is 100%, so we can write it down as 11.738=100%.
4. We know, that x is 6.625% of the output value, so we can write it down as x=6.625%.
5. Now we have two simple equations:
1) 11.738=100%
2) x=6.625%
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:
11.738/x=100%/6.625%
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 6.625% of 11.738

11.738/x=100/6.625
(11.738/x)*x=(100/6.625)*x       - we multiply both sides of the equation by x
11.738=15.094339622642*x       - we divide both sides of the equation by (15.094339622642) to get x
11.738/15.094339622642=x
0.7776425=x
x=0.7776425

now we have:
6.625% of 11.738=0.7776425