20 is what percent of 102000 - 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 102000 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 102000, so we can write it down as 100%=102000.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=102000
2) x%=20
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%=102000/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 102000

100%/x%=102000/20
(100/x)*x=(102000/20)*x       - we multiply both sides of the equation by x
100=5100*x       - we divide both sides of the equation by (5100) to get x
100/5100=x
0.019607843137255=x
x=0.019607843137255

now we have:
20 is 0.019607843137255% of 102000