13.69 is what percent of 88.3 - 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 88.3 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 88.3, so we can write it down as 100%=88.3.
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%=88.3
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%=88.3/13.69
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 88.3

100%/x%=88.3/13.69
(100/x)*x=(88.3/13.69)*x       - we multiply both sides of the equation by x
100=6.4499634769905*x       - we divide both sides of the equation by (6.4499634769905) to get x
100/6.4499634769905=x
15.503963759909=x
x=15.503963759909

now we have:
13.69 is 15.503963759909% of 88.3