5 is what percent of 20.237 - 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 20.237 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 20.237, so we can write it down as 100%=20.237.
4. We know, that x% equals 5 of the output value, so we can write it down as x%=5.
5. Now we have two simple equations:
1) 100%=20.237
2) x%=5
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%=20.237/5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5 is what percent of 20.237

100%/x%=20.237/5
(100/x)*x=(20.237/5)*x       - we multiply both sides of the equation by x
100=4.0474*x       - we divide both sides of the equation by (4.0474) to get x
100/4.0474=x
24.707219449523=x
x=24.707219449523

now we have:
5 is 24.707219449523% of 20.237