13.42 is what percent of 388 - 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 388 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 388, so we can write it down as 100%=388.
4. We know, that x% equals 13.42 of the output value, so we can write it down as x%=13.42.
5. Now we have two simple equations:
1) 100%=388
2) x%=13.42
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%=388/13.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.42 is what percent of 388

100%/x%=388/13.42
(100/x)*x=(388/13.42)*x       - we multiply both sides of the equation by x
100=28.912071535022*x       - we divide both sides of the equation by (28.912071535022) to get x
100/28.912071535022=x
3.4587628865979=x
x=3.4587628865979

now we have:
13.42 is 3.4587628865979% of 388