20.89 is what percent of 24.47 - 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 24.47 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 24.47, so we can write it down as 100%=24.47.
4. We know, that x% equals 20.89 of the output value, so we can write it down as x%=20.89.
5. Now we have two simple equations:
1) 100%=24.47
2) x%=20.89
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%=24.47/20.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.89 is what percent of 24.47

100%/x%=24.47/20.89
(100/x)*x=(24.47/20.89)*x       - we multiply both sides of the equation by x
100=1.1713738630924*x       - we divide both sides of the equation by (1.1713738630924) to get x
100/1.1713738630924=x
85.369840621169=x
x=85.369840621169

now we have:
20.89 is 85.369840621169% of 24.47