20 is what percent of 85.63 - 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 85.63 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 85.63, so we can write it down as 100%=85.63.
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%=85.63
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%=85.63/20
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 85.63

100%/x%=85.63/20
(100/x)*x=(85.63/20)*x       - we multiply both sides of the equation by x
100=4.2815*x       - we divide both sides of the equation by (4.2815) to get x
100/4.2815=x
23.356300362023=x
x=23.356300362023

now we have:
20 is 23.356300362023% of 85.63