8.69 is what percent of 13699 - 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 13699 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 13699, so we can write it down as 100%=13699.
4. We know, that x% equals 8.69 of the output value, so we can write it down as x%=8.69.
5. Now we have two simple equations:
1) 100%=13699
2) x%=8.69
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%=13699/8.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.69 is what percent of 13699

100%/x%=13699/8.69
(100/x)*x=(13699/8.69)*x       - we multiply both sides of the equation by x
100=1576.4096662831*x       - we divide both sides of the equation by (1576.4096662831) to get x
100/1576.4096662831=x
0.063435287247244=x
x=0.063435287247244

now we have:
8.69 is 0.063435287247244% of 13699