20 is what percent of 4020 - 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 4020 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 4020, so we can write it down as 100%=4020.
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%=4020
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%=4020/20
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 4020

100%/x%=4020/20
(100/x)*x=(4020/20)*x       - we multiply both sides of the equation by x
100=201*x       - we divide both sides of the equation by (201) to get x
100/201=x
0.49751243781095=x
x=0.49751243781095

now we have:
20 is 0.49751243781095% of 4020