388.16 is what percent of 2615.38 - 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 2615.38 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 2615.38, so we can write it down as 100%=2615.38.
4. We know, that x% equals 388.16 of the output value, so we can write it down as x%=388.16.
5. Now we have two simple equations:
1) 100%=2615.38
2) x%=388.16
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%=2615.38/388.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 388.16 is what percent of 2615.38

100%/x%=2615.38/388.16
(100/x)*x=(2615.38/388.16)*x       - we multiply both sides of the equation by x
100=6.7378915910965*x       - we divide both sides of the equation by (6.7378915910965) to get x
100/6.7378915910965=x
14.841437955479=x
x=14.841437955479

now we have:
388.16 is 14.841437955479% of 2615.38