54.99 is what percent of 95.83 - 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 95.83 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 95.83, so we can write it down as 100%=95.83.
4. We know, that x% equals 54.99 of the output value, so we can write it down as x%=54.99.
5. Now we have two simple equations:
1) 100%=95.83
2) x%=54.99
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%=95.83/54.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.99 is what percent of 95.83

100%/x%=95.83/54.99
(100/x)*x=(95.83/54.99)*x       - we multiply both sides of the equation by x
100=1.7426804873613*x       - we divide both sides of the equation by (1.7426804873613) to get x
100/1.7426804873613=x
57.382865490974=x
x=57.382865490974

now we have:
54.99 is 57.382865490974% of 95.83