49.55 is what percent of 58.5 - 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 58.5 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 58.5, so we can write it down as 100%=58.5.
4. We know, that x% equals 49.55 of the output value, so we can write it down as x%=49.55.
5. Now we have two simple equations:
1) 100%=58.5
2) x%=49.55
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%=58.5/49.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.55 is what percent of 58.5

100%/x%=58.5/49.55
(100/x)*x=(58.5/49.55)*x       - we multiply both sides of the equation by x
100=1.1806256306761*x       - we divide both sides of the equation by (1.1806256306761) to get x
100/1.1806256306761=x
84.700854700855=x
x=84.700854700855

now we have:
49.55 is 84.700854700855% of 58.5