5.37 is what percent of 20.33 - 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 20.33 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 20.33, so we can write it down as 100%=20.33.
4. We know, that x% equals 5.37 of the output value, so we can write it down as x%=5.37.
5. Now we have two simple equations:
1) 100%=20.33
2) x%=5.37
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%=20.33/5.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.37 is what percent of 20.33

100%/x%=20.33/5.37
(100/x)*x=(20.33/5.37)*x       - we multiply both sides of the equation by x
100=3.7858472998138*x       - we divide both sides of the equation by (3.7858472998138) to get x
100/3.7858472998138=x
26.414166256763=x
x=26.414166256763

now we have:
5.37 is 26.414166256763% of 20.33