3200 is what percent of 5.0E-5 - 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 5.0E-5 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 5.0E-5, so we can write it down as 100%=5.0E-5.
4. We know, that x% equals 3200 of the output value, so we can write it down as x%=3200.
5. Now we have two simple equations:
1) 100%=5.0E-5
2) x%=3200
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%=5.0E-5/3200
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3200 is what percent of 5.0E-5

100%/x%=5.0E-5/3200
(100/x)*x=(5.0E-5/3200)*x       - we multiply both sides of the equation by x
100=1.5625E-8*x       - we divide both sides of the equation by (1.5625E-8) to get x
100/1.5625E-8=x
6400000000=x
x=6400000000

now we have:
3200 is 6400000000% of 5.0E-5