3.8E-6 is what percent of 3189 - 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 3189 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 3189, so we can write it down as 100%=3189.
4. We know, that x% equals 3.8E-6 of the output value, so we can write it down as x%=3.8E-6.
5. Now we have two simple equations:
1) 100%=3189
2) x%=3.8E-6
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%=3189/3.8E-6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.8E-6 is what percent of 3189

100%/x%=3189/3.8E-6
(100/x)*x=(3189/3.8E-6)*x       - we multiply both sides of the equation by x
100=839210526.31579*x       - we divide both sides of the equation by (839210526.31579) to get x
100/839210526.31579=x
1.1915961116337E-7=x
x=1.1915961116337E-7

now we have:
3.8E-6 is 1.1915961116337E-7% of 3189