What is 11.93 percent of 0.0287 - 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 0.0287 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 0.0287 is 100%, so we can write it down as 0.0287=100%.
4. We know, that x is 11.93% of the output value, so we can write it down as x=11.93%.
5. Now we have two simple equations:
1) 0.0287=100%
2) x=11.93%
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:
0.0287/x=100%/11.93%
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 11.93% of 0.0287

0.0287/x=100/11.93
(0.0287/x)*x=(100/11.93)*x       - we multiply both sides of the equation by x
0.0287=8.382229673093*x       - we divide both sides of the equation by (8.382229673093) to get x
0.0287/8.382229673093=x
0.00342391=x
x=0.00342391

now we have:
11.93% of 0.0287=0.00342391