13.4 is what percent of 7700 - 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 7700 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 7700, so we can write it down as 100%=7700.
4. We know, that x% equals 13.4 of the output value, so we can write it down as x%=13.4.
5. Now we have two simple equations:
1) 100%=7700
2) x%=13.4
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%=7700/13.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.4 is what percent of 7700

100%/x%=7700/13.4
(100/x)*x=(7700/13.4)*x       - we multiply both sides of the equation by x
100=574.62686567164*x       - we divide both sides of the equation by (574.62686567164) to get x
100/574.62686567164=x
0.17402597402597=x
x=0.17402597402597

now we have:
13.4 is 0.17402597402597% of 7700