49.25 is what percent of 56.5 - 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 56.5 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 56.5, so we can write it down as 100%=56.5.
4. We know, that x% equals 49.25 of the output value, so we can write it down as x%=49.25.
5. Now we have two simple equations:
1) 100%=56.5
2) x%=49.25
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%=56.5/49.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.25 is what percent of 56.5

100%/x%=56.5/49.25
(100/x)*x=(56.5/49.25)*x       - we multiply both sides of the equation by x
100=1.1472081218274*x       - we divide both sides of the equation by (1.1472081218274) to get x
100/1.1472081218274=x
87.16814159292=x
x=87.16814159292

now we have:
49.25 is 87.16814159292% of 56.5