5.08 is what percent of 22.02 - 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 22.02 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 22.02, so we can write it down as 100%=22.02.
4. We know, that x% equals 5.08 of the output value, so we can write it down as x%=5.08.
5. Now we have two simple equations:
1) 100%=22.02
2) x%=5.08
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%=22.02/5.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.08 is what percent of 22.02

100%/x%=22.02/5.08
(100/x)*x=(22.02/5.08)*x       - we multiply both sides of the equation by x
100=4.3346456692913*x       - we divide both sides of the equation by (4.3346456692913) to get x
100/4.3346456692913=x
23.069936421435=x
x=23.069936421435

now we have:
5.08 is 23.069936421435% of 22.02