13.69 is what percent of 24.07 - 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 24.07 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 24.07, so we can write it down as 100%=24.07.
4. We know, that x% equals 13.69 of the output value, so we can write it down as x%=13.69.
5. Now we have two simple equations:
1) 100%=24.07
2) x%=13.69
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%=24.07/13.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.69 is what percent of 24.07

100%/x%=24.07/13.69
(100/x)*x=(24.07/13.69)*x       - we multiply both sides of the equation by x
100=1.7582176771366*x       - we divide both sides of the equation by (1.7582176771366) to get x
100/1.7582176771366=x
56.875778977981=x
x=56.875778977981

now we have:
13.69 is 56.875778977981% of 24.07