What is 1.0E-42 percent of 1.0E+34 - 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 1.0E+34 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 1.0E+34 is 100%, so we can write it down as 1.0E+34=100%.
4. We know, that x is 1.0E-42% of the output value, so we can write it down as x=1.0E-42%.
5. Now we have two simple equations:
1) 1.0E+34=100%
2) x=1.0E-42%
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:
1.0E+34/x=100%/1.0E-42%
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-42% of 1.0E+34

1.0E+34/x=100/1.0E-42
(1.0E+34/x)*x=(100/1.0E-42)*x       - we multiply both sides of the equation by x
1.0E+34=1.0E+44*x       - we divide both sides of the equation by (1.0E+44) to get x
1.0E+34/1.0E+44=x
1.0E-10=x
x=1.0E-10

now we have:
1.0E-42% of 1.0E+34=1.0E-10