27.57 is what percent of 1563.2 - 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 1563.2 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 1563.2, so we can write it down as 100%=1563.2.
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%=1563.2
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%=1563.2/27.57
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 1563.2

100%/x%=1563.2/27.57
(100/x)*x=(1563.2/27.57)*x       - we multiply both sides of the equation by x
100=56.699310845122*x       - we divide both sides of the equation by (56.699310845122) to get x
100/56.699310845122=x
1.7636898669396=x
x=1.7636898669396

now we have:
27.57 is 1.7636898669396% of 1563.2