27.56 is what percent of 456 - 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 456 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 456, so we can write it down as 100%=456.
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%=456
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%=456/27.56
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 456

100%/x%=456/27.56
(100/x)*x=(456/27.56)*x       - we multiply both sides of the equation by x
100=16.545718432511*x       - we divide both sides of the equation by (16.545718432511) to get x
100/16.545718432511=x
6.0438596491228=x
x=6.0438596491228

now we have:
27.56 is 6.0438596491228% of 456