What is 11.83 percent of 6.7 - 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 6.7 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 6.7 is 100%, so we can write it down as 6.7=100%.
4. We know, that x is 11.83% of the output value, so we can write it down as x=11.83%.
5. Now we have two simple equations:
1) 6.7=100%
2) x=11.83%
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:
6.7/x=100%/11.83%
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 11.83% of 6.7

6.7/x=100/11.83
(6.7/x)*x=(100/11.83)*x       - we multiply both sides of the equation by x
6.7=8.4530853761623*x       - we divide both sides of the equation by (8.4530853761623) to get x
6.7/8.4530853761623=x
0.79261=x
x=0.79261

now we have:
11.83% of 6.7=0.79261