8.79 is what percent of 13.69 - 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 13.69 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 13.69, so we can write it down as 100%=13.69.
4. We know, that x% equals 8.79 of the output value, so we can write it down as x%=8.79.
5. Now we have two simple equations:
1) 100%=13.69
2) x%=8.79
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%=13.69/8.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.79 is what percent of 13.69

100%/x%=13.69/8.79
(100/x)*x=(13.69/8.79)*x       - we multiply both sides of the equation by x
100=1.5574516496018*x       - we divide both sides of the equation by (1.5574516496018) to get x
100/1.5574516496018=x
64.207450693937=x
x=64.207450693937

now we have:
8.79 is 64.207450693937% of 13.69