785.07 is what percent of 20020 - 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 20020 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 20020, so we can write it down as 100%=20020.
4. We know, that x% equals 785.07 of the output value, so we can write it down as x%=785.07.
5. Now we have two simple equations:
1) 100%=20020
2) x%=785.07
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%=20020/785.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 785.07 is what percent of 20020

100%/x%=20020/785.07
(100/x)*x=(20020/785.07)*x       - we multiply both sides of the equation by x
100=25.500910746812*x       - we divide both sides of the equation by (25.500910746812) to get x
100/25.500910746812=x
3.9214285714286=x
x=3.9214285714286

now we have:
785.07 is 3.9214285714286% of 20020