10.4 is what percent of 13.6 - 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 13.6 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 13.6, so we can write it down as 100%=13.6.
4. We know, that x% equals 10.4 of the output value, so we can write it down as x%=10.4.
5. Now we have two simple equations:
1) 100%=13.6
2) x%=10.4
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%=13.6/10.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.4 is what percent of 13.6

100%/x%=13.6/10.4
(100/x)*x=(13.6/10.4)*x       - we multiply both sides of the equation by x
100=1.3076923076923*x       - we divide both sides of the equation by (1.3076923076923) to get x
100/1.3076923076923=x
76.470588235294=x
x=76.470588235294

now we have:
10.4 is 76.470588235294% of 13.6