40000 is what percent of 2 - 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 2 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 2, so we can write it down as 100%=2.
4. We know, that x% equals 40000 of the output value, so we can write it down as x%=40000.
5. Now we have two simple equations:
1) 100%=2
2) x%=40000
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%=2/40000
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40000 is what percent of 2

100%/x%=2/40000
(100/x)*x=(2/40000)*x       - we multiply both sides of the equation by x
100=5.0E-5*x       - we divide both sides of the equation by (5.0E-5) to get x
100/5.0E-5=x
2000000=x
x=2000000

now we have:
40000 is 2000000% of 2