What is 11.78 percent of 58.92 - 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 58.92 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 58.92 is 100%, so we can write it down as 58.92=100%.
4. We know, that x is 11.78% of the output value, so we can write it down as x=11.78%.
5. Now we have two simple equations:
1) 58.92=100%
2) x=11.78%
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:
58.92/x=100%/11.78%
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 11.78% of 58.92

58.92/x=100/11.78
(58.92/x)*x=(100/11.78)*x       - we multiply both sides of the equation by x
58.92=8.4889643463497*x       - we divide both sides of the equation by (8.4889643463497) to get x
58.92/8.4889643463497=x
6.940776=x
x=6.940776

now we have:
11.78% of 58.92=6.940776