20 is what percent of 82.17 - 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 82.17 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 82.17, so we can write it down as 100%=82.17.
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%=82.17
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%=82.17/20
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 82.17

100%/x%=82.17/20
(100/x)*x=(82.17/20)*x       - we multiply both sides of the equation by x
100=4.1085*x       - we divide both sides of the equation by (4.1085) to get x
100/4.1085=x
24.339783375928=x
x=24.339783375928

now we have:
20 is 24.339783375928% of 82.17