255.56 is what percent of 13380.17 - 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 13380.17 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 13380.17, so we can write it down as 100%=13380.17.
4. We know, that x% equals 255.56 of the output value, so we can write it down as x%=255.56.
5. Now we have two simple equations:
1) 100%=13380.17
2) x%=255.56
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%=13380.17/255.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.56 is what percent of 13380.17

100%/x%=13380.17/255.56
(100/x)*x=(13380.17/255.56)*x       - we multiply both sides of the equation by x
100=52.356276412584*x       - we divide both sides of the equation by (52.356276412584) to get x
100/52.356276412584=x
1.909990680238=x
x=1.909990680238

now we have:
255.56 is 1.909990680238% of 13380.17