27.57 is what percent of 56 - 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 56 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 56, so we can write it down as 100%=56.
4. We know, that x% equals 27.57 of the output value, so we can write it down as x%=27.57.
5. Now we have two simple equations:
1) 100%=56
2) x%=27.57
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%=56/27.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.57 is what percent of 56

100%/x%=56/27.57
(100/x)*x=(56/27.57)*x       - we multiply both sides of the equation by x
100=2.0311933260791*x       - we divide both sides of the equation by (2.0311933260791) to get x
100/2.0311933260791=x
49.232142857143=x
x=49.232142857143

now we have:
27.57 is 49.232142857143% of 56