2.0E-6 is what percent of 8.7E-7 - 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 8.7E-7 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 8.7E-7, so we can write it down as 100%=8.7E-7.
4. We know, that x% equals 2.0E-6 of the output value, so we can write it down as x%=2.0E-6.
5. Now we have two simple equations:
1) 100%=8.7E-7
2) x%=2.0E-6
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%=8.7E-7/2.0E-6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.0E-6 is what percent of 8.7E-7

100%/x%=8.7E-7/2.0E-6
(100/x)*x=(8.7E-7/2.0E-6)*x       - we multiply both sides of the equation by x
100=0.435*x       - we divide both sides of the equation by (0.435) to get x
100/0.435=x
229.88505747126=x
x=229.88505747126

now we have:
2.0E-6 is 229.88505747126% of 8.7E-7