135.9 is what percent of 2000 - 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 2000 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 2000, so we can write it down as 100%=2000.
4. We know, that x% equals 135.9 of the output value, so we can write it down as x%=135.9.
5. Now we have two simple equations:
1) 100%=2000
2) x%=135.9
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%=2000/135.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 135.9 is what percent of 2000

100%/x%=2000/135.9
(100/x)*x=(2000/135.9)*x       - we multiply both sides of the equation by x
100=14.716703458425*x       - we divide both sides of the equation by (14.716703458425) to get x
100/14.716703458425=x
6.795=x
x=6.795

now we have:
135.9 is 6.795% of 2000