408.76 is what percent of 2715.06 - 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 2715.06 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 2715.06, so we can write it down as 100%=2715.06.
4. We know, that x% equals 408.76 of the output value, so we can write it down as x%=408.76.
5. Now we have two simple equations:
1) 100%=2715.06
2) x%=408.76
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%=2715.06/408.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 408.76 is what percent of 2715.06

100%/x%=2715.06/408.76
(100/x)*x=(2715.06/408.76)*x       - we multiply both sides of the equation by x
100=6.6421861238869*x       - we divide both sides of the equation by (6.6421861238869) to get x
100/6.6421861238869=x
15.055284229446=x
x=15.055284229446

now we have:
408.76 is 15.055284229446% of 2715.06