0.08 is what percent of 11.67 - 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 11.67 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 100% equals 11.67, so we can write it down as 100%=11.67.
4. We know, that x% equals 0.08 of the output value, so we can write it down as x%=0.08.
5. Now we have two simple equations:
1) 100%=11.67
2) x%=0.08
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:
100%/x%=11.67/0.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.08 is what percent of 11.67

100%/x%=11.67/0.08
(100/x)*x=(11.67/0.08)*x       - we multiply both sides of the equation by x
100=145.875*x       - we divide both sides of the equation by (145.875) to get x
100/145.875=x
0.68551842330763=x
x=0.68551842330763

now we have:
0.08 is 0.68551842330763% of 11.67