4.69 is what percent of 13.02 - 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 13.02 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 13.02, so we can write it down as 100%=13.02.
4. We know, that x% equals 4.69 of the output value, so we can write it down as x%=4.69.
5. Now we have two simple equations:
1) 100%=13.02
2) x%=4.69
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%=13.02/4.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.69 is what percent of 13.02

100%/x%=13.02/4.69
(100/x)*x=(13.02/4.69)*x       - we multiply both sides of the equation by x
100=2.7761194029851*x       - we divide both sides of the equation by (2.7761194029851) to get x
100/2.7761194029851=x
36.021505376344=x
x=36.021505376344

now we have:
4.69 is 36.021505376344% of 13.02