20 is what percent of 76900 - 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 76900 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 76900, so we can write it down as 100%=76900.
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%=76900
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%=76900/20
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 76900

100%/x%=76900/20
(100/x)*x=(76900/20)*x       - we multiply both sides of the equation by x
100=3845*x       - we divide both sides of the equation by (3845) to get x
100/3845=x
0.026007802340702=x
x=0.026007802340702

now we have:
20 is 0.026007802340702% of 76900