27.56 is what percent of 440 - 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 440 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 440, so we can write it down as 100%=440.
4. We know, that x% equals 27.56 of the output value, so we can write it down as x%=27.56.
5. Now we have two simple equations:
1) 100%=440
2) x%=27.56
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%=440/27.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.56 is what percent of 440

100%/x%=440/27.56
(100/x)*x=(440/27.56)*x       - we multiply both sides of the equation by x
100=15.965166908563*x       - we divide both sides of the equation by (15.965166908563) to get x
100/15.965166908563=x
6.2636363636364=x
x=6.2636363636364

now we have:
27.56 is 6.2636363636364% of 440