2000 is what percent of 4.0E+14 - 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 4.0E+14 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 4.0E+14, so we can write it down as 100%=4.0E+14.
4. We know, that x% equals 2000 of the output value, so we can write it down as x%=2000.
5. Now we have two simple equations:
1) 100%=4.0E+14
2) x%=2000
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%=4.0E+14/2000
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2000 is what percent of 4.0E+14

100%/x%=4.0E+14/2000
(100/x)*x=(4.0E+14/2000)*x       - we multiply both sides of the equation by x
100=200000000000*x       - we divide both sides of the equation by (200000000000) to get x
100/200000000000=x
5.0E-10=x
x=5.0E-10

now we have:
2000 is 5.0E-10% of 4.0E+14