What is 1.0E-5 percent of 4.6 - 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 4.6 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 4.6 is 100%, so we can write it down as 4.6=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) 4.6=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:
4.6/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 4.6

4.6/x=100/1.0E-5
(4.6/x)*x=(100/1.0E-5)*x       - we multiply both sides of the equation by x
4.6=10000000*x       - we divide both sides of the equation by (10000000) to get x
4.6/10000000=x
4.6E-7=x
x=4.6E-7

now we have:
1.0E-5% of 4.6=4.6E-7