13.62 is what percent of 27.99 - 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 27.99 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 27.99, so we can write it down as 100%=27.99.
4. We know, that x% equals 13.62 of the output value, so we can write it down as x%=13.62.
5. Now we have two simple equations:
1) 100%=27.99
2) x%=13.62
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%=27.99/13.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.62 is what percent of 27.99

100%/x%=27.99/13.62
(100/x)*x=(27.99/13.62)*x       - we multiply both sides of the equation by x
100=2.0550660792952*x       - we divide both sides of the equation by (2.0550660792952) to get x
100/2.0550660792952=x
48.660235798499=x
x=48.660235798499

now we have:
13.62 is 48.660235798499% of 27.99