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

11.78/x=100/58.92
(11.78/x)*x=(100/58.92)*x       - we multiply both sides of the equation by x
11.78=1.6972165648337*x       - we divide both sides of the equation by (1.6972165648337) to get x
11.78/1.6972165648337=x
6.940776=x
x=6.940776

now we have:
58.92% of 11.78=6.940776