What is 1.0E-5 percent of 0.023 - 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 0.023 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 0.023 is 100%, so we can write it down as 0.023=100%.
4. We know, that x is 1.0E-5% of the output value, so we can write it down as x=1.0E-5%.
5. Now we have two simple equations:
1) 0.023=100%
2) x=1.0E-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:
0.023/x=100%/1.0E-5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1.0E-5% of 0.023

0.023/x=100/1.0E-5
(0.023/x)*x=(100/1.0E-5)*x       - we multiply both sides of the equation by x
0.023=10000000*x       - we divide both sides of the equation by (10000000) to get x
0.023/10000000=x
2.3E-9=x
x=2.3E-9

now we have:
1.0E-5% of 0.023=2.3E-9