4.0E-5 is what percent of 0.104 - 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 0.104 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 0.104, so we can write it down as 100%=0.104.
4. We know, that x% equals 4.0E-5 of the output value, so we can write it down as x%=4.0E-5.
5. Now we have two simple equations:
1) 100%=0.104
2) x%=4.0E-5
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%=0.104/4.0E-5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.0E-5 is what percent of 0.104

100%/x%=0.104/4.0E-5
(100/x)*x=(0.104/4.0E-5)*x       - we multiply both sides of the equation by x
100=2600*x       - we divide both sides of the equation by (2600) to get x
100/2600=x
0.038461538461538=x
x=0.038461538461538

now we have:
4.0E-5 is 0.038461538461538% of 0.104