13.78 is what percent of 6704.04 - 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 6704.04 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 6704.04, so we can write it down as 100%=6704.04.
4. We know, that x% equals 13.78 of the output value, so we can write it down as x%=13.78.
5. Now we have two simple equations:
1) 100%=6704.04
2) x%=13.78
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%=6704.04/13.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.78 is what percent of 6704.04

100%/x%=6704.04/13.78
(100/x)*x=(6704.04/13.78)*x       - we multiply both sides of the equation by x
100=486.50507982583*x       - we divide both sides of the equation by (486.50507982583) to get x
100/486.50507982583=x
0.20554769959606=x
x=0.20554769959606

now we have:
13.78 is 0.20554769959606% of 6704.04