20 is what percent of 72.887 - 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 72.887 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 72.887, so we can write it down as 100%=72.887.
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%=72.887
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%=72.887/20
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 72.887

100%/x%=72.887/20
(100/x)*x=(72.887/20)*x       - we multiply both sides of the equation by x
100=3.64435*x       - we divide both sides of the equation by (3.64435) to get x
100/3.64435=x
27.43973548095=x
x=27.43973548095

now we have:
20 is 27.43973548095% of 72.887