What is 11.8 percent of 7.85 - 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 7.85 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 7.85 is 100%, so we can write it down as 7.85=100%.
4. We know, that x is 11.8% of the output value, so we can write it down as x=11.8%.
5. Now we have two simple equations:
1) 7.85=100%
2) x=11.8%
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:
7.85/x=100%/11.8%
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 11.8% of 7.85

7.85/x=100/11.8
(7.85/x)*x=(100/11.8)*x       - we multiply both sides of the equation by x
7.85=8.4745762711864*x       - we divide both sides of the equation by (8.4745762711864) to get x
7.85/8.4745762711864=x
0.9263=x
x=0.9263

now we have:
11.8% of 7.85=0.9263