11.86 is what percent of 0.03 - 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 0.03 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 0.03, so we can write it down as 100%=0.03.
4. We know, that x% equals 11.86 of the output value, so we can write it down as x%=11.86.
5. Now we have two simple equations:
1) 100%=0.03
2) x%=11.86
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%=0.03/11.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.86 is what percent of 0.03

100%/x%=0.03/11.86
(100/x)*x=(0.03/11.86)*x       - we multiply both sides of the equation by x
100=0.0025295109612142*x       - we divide both sides of the equation by (0.0025295109612142) to get x
100/0.0025295109612142=x
39533.333333333=x
x=39533.333333333

now we have:
11.86 is 39533.333333333% of 0.03